Guaranteed Optimal Solutions

Guaranteed Optimal Solutions

Guaranteed Optimal Solutions

QUBO Solver

QUBO Solver

QUBO Solver

Achieve proven optimal results for your hardest binary optimization problems. BEIT’s QUBO Solver delivers exact solutions with speed and certainty, giving enterprises and researchers complete confidence in tackling complex combinatorial challenges.

Achieve proven optimal results for your hardest binary optimization problems. BEIT’s QUBO Solver delivers exact solutions with speed and certainty, giving enterprises and researchers complete confidence in tackling complex combinatorial challenges.

Achieve proven optimal results for your hardest binary optimization problems. BEIT’s QUBO Solver delivers exact solutions with speed and certainty, giving enterprises and researchers complete confidence in tackling complex combinatorial challenges.

Overview

Overview

Overview

BEIT’s QUBO Solver is an exact optimization engine for Quadratic Unconstrained Binary Optimization (QUBO) problems. It finds the true global optimum (lowest-energy solution) for your problem—guaranteeing the best possible result. This cloud-based solver uses advanced classical algorithms and GPU acceleration to obtain the optimal value within moments​. The solver is provided via a Python API that integrates seamlessly with D-Wave’s dimod library, supporting QUBO models up to 1024 variables on D-Wave’s Chimera graph architecture​. In practice, that means you can easily prototype and validate QUBO formulations using our solver before running them on quantum annealers or other platforms, accelerating development and ensuring accuracy. Unlike heuristic quantum approaches that often return merely good solutions, BEIT’s QUBO Solver guarantees a definitive optimal solution every time, thanks to its patented exact algorithm​. This gives enterprises and researchers a “ground truth” benchmark to trust for critical decisions or to compare against approximate methods.

BEIT’s QUBO Solver is an exact optimization engine for Quadratic Unconstrained Binary Optimization (QUBO) problems. It finds the true global optimum (lowest-energy solution) for your problem—guaranteeing the best possible result. This cloud-based solver uses advanced classical algorithms and GPU acceleration to obtain the optimal value within moments​. The solver is provided via a Python API that integrates seamlessly with D-Wave’s dimod library, supporting QUBO models up to 1024 variables on D-Wave’s Chimera graph architecture​. In practice, that means you can easily prototype and validate QUBO formulations using our solver before running them on quantum annealers or other platforms, accelerating development and ensuring accuracy. Unlike heuristic quantum approaches that often return merely good solutions, BEIT’s QUBO Solver guarantees a definitive optimal solution every time, thanks to its patented exact algorithm​. This gives enterprises and researchers a “ground truth” benchmark to trust for critical decisions or to compare against approximate methods.

BEIT’s QUBO Solver is an exact optimization engine for Quadratic Unconstrained Binary Optimization (QUBO) problems. It finds the true global optimum (lowest-energy solution) for your problem—guaranteeing the best possible result. This cloud-based solver uses advanced classical algorithms and GPU acceleration to obtain the optimal value within moments​. The solver is provided via a Python API that integrates seamlessly with D-Wave’s dimod library, supporting QUBO models up to 1024 variables on D-Wave’s Chimera graph architecture​. In practice, that means you can easily prototype and validate QUBO formulations using our solver before running them on quantum annealers or other platforms, accelerating development and ensuring accuracy. Unlike heuristic quantum approaches that often return merely good solutions, BEIT’s QUBO Solver guarantees a definitive optimal solution every time, thanks to its patented exact algorithm​. This gives enterprises and researchers a “ground truth” benchmark to trust for critical decisions or to compare against approximate methods.

Key Use Cases

Our QUBO Solver is used in both enterprise and research settings where exact optimality is paramount and problem sizes are within solvable ranges. Key use cases include:

  • Molecular Optimization – Find the lowest-energy configuration of small molecules or chemical structures for quantum chemistry and drug discovery research, providing precise results for validation.

  • Logistics & Planning – Optimize routing of vehicles and scheduling of tasks (e.g. delivery trucks, production jobs) for maximum efficiency. The solver finds the best possible plan, improving operational outcomes and serving as a benchmark for heuristic plans.

  • Portfolio Selection – Determine the optimal mix of assets in an investment portfolio to maximize returns and minimize risk under given constraints. An exact solution offers traders and financial analysts a gold-standard outcome for comparison and compliance.

  • Network Design – Configure communication or supply chain networks for peak performance at minimal cost. By solving the QUBO representation of the network problem to optimality, enterprises can confidently deploy cost-effective, high-performance network configurations.

Key Use Cases

Our QUBO Solver is used in both enterprise and research settings where exact optimality is paramount and problem sizes are within solvable ranges. Key use cases include:

  • Molecular Optimization – Find the lowest-energy configuration of small molecules or chemical structures for quantum chemistry and drug discovery research, providing precise results for validation.

  • Logistics & Planning – Optimize routing of vehicles and scheduling of tasks (e.g. delivery trucks, production jobs) for maximum efficiency. The solver finds the best possible plan, improving operational outcomes and serving as a benchmark for heuristic plans.

  • Portfolio Selection – Determine the optimal mix of assets in an investment portfolio to maximize returns and minimize risk under given constraints. An exact solution offers traders and financial analysts a gold-standard outcome for comparison and compliance.

  • Network Design – Configure communication or supply chain networks for peak performance at minimal cost. By solving the QUBO representation of the network problem to optimality, enterprises can confidently deploy cost-effective, high-performance network configurations.

Key Use Cases

Our QUBO Solver is used in both enterprise and research settings where exact optimality is paramount and problem sizes are within solvable ranges. Key use cases include:

  • Molecular Optimization – Find the lowest-energy configuration of small molecules or chemical structures for quantum chemistry and drug discovery research, providing precise results for validation.

  • Logistics & Planning – Optimize routing of vehicles and scheduling of tasks (e.g. delivery trucks, production jobs) for maximum efficiency. The solver finds the best possible plan, improving operational outcomes and serving as a benchmark for heuristic plans.

  • Portfolio Selection – Determine the optimal mix of assets in an investment portfolio to maximize returns and minimize risk under given constraints. An exact solution offers traders and financial analysts a gold-standard outcome for comparison and compliance.

  • Network Design – Configure communication or supply chain networks for peak performance at minimal cost. By solving the QUBO representation of the network problem to optimality, enterprises can confidently deploy cost-effective, high-performance network configurations.

Benefits

By using BEIT’s QUBO Solver, organizations gain several key benefits:

  • Provable Optimality – Always obtain the mathematically optimal solution (global minimum) for your QUBO problem, ensuring the best possible outcome with no compromises​. This level of precision is crucial for mission-critical decisions and for verifying results from heuristics or quantum solvers.

  • High PerformanceGPU-accelerated algorithms power the solver to deliver results fast, even on computationally intense problems. You get answers in moments rather than hours, thanks to the solver’s highly efficient use of parallel processing​. Rapid, deterministic computation means faster time-to-solution and improved productivity.

  • Easy Integration – The solver works within standard workflows and tools. With compatibility for D-Wave’s dimod API and a cloud-based service endpoint, it plugs into your existing optimization pipeline with minimal effort​. You can submit problems through a simple Python interface and retrieve solutions seamlessly, making it enterprise-friendly and developer-friendly.

  • Deterministic & Reliable – Unlike quantum annealers or stochastic methods that might give different answers on different runs, the QUBO Solver produces the same result every time for a given problem. This determinism and robustness simplify debugging and analysis. There’s no randomness in the final answer – you know it’s consistently the best.

  • Cost Efficiency – Accessing the solver via the cloud is cost-effective. You get cutting-edge optimization without needing to invest in specialized hardware. Our pay-per-use model (around $0.30 per request) means even small teams can afford to solve tough problems​. It offers a fraction of the cost of quantum hardware or large on-premise solvers while delivering superior accuracy on supported problem sizes.

Benefits

By using BEIT’s QUBO Solver, organizations gain several key benefits:

  • Provable Optimality – Always obtain the mathematically optimal solution (global minimum) for your QUBO problem, ensuring the best possible outcome with no compromises​. This level of precision is crucial for mission-critical decisions and for verifying results from heuristics or quantum solvers.

  • High PerformanceGPU-accelerated algorithms power the solver to deliver results fast, even on computationally intense problems. You get answers in moments rather than hours, thanks to the solver’s highly efficient use of parallel processing​. Rapid, deterministic computation means faster time-to-solution and improved productivity.

  • Easy Integration – The solver works within standard workflows and tools. With compatibility for D-Wave’s dimod API and a cloud-based service endpoint, it plugs into your existing optimization pipeline with minimal effort​. You can submit problems through a simple Python interface and retrieve solutions seamlessly, making it enterprise-friendly and developer-friendly.

  • Deterministic & Reliable – Unlike quantum annealers or stochastic methods that might give different answers on different runs, the QUBO Solver produces the same result every time for a given problem. This determinism and robustness simplify debugging and analysis. There’s no randomness in the final answer – you know it’s consistently the best.

  • Cost Efficiency – Accessing the solver via the cloud is cost-effective. You get cutting-edge optimization without needing to invest in specialized hardware. Our pay-per-use model (around $0.30 per request) means even small teams can afford to solve tough problems​. It offers a fraction of the cost of quantum hardware or large on-premise solvers while delivering superior accuracy on supported problem sizes.

Benefits

By using BEIT’s QUBO Solver, organizations gain several key benefits:

  • Provable Optimality – Always obtain the mathematically optimal solution (global minimum) for your QUBO problem, ensuring the best possible outcome with no compromises​. This level of precision is crucial for mission-critical decisions and for verifying results from heuristics or quantum solvers.

  • High PerformanceGPU-accelerated algorithms power the solver to deliver results fast, even on computationally intense problems. You get answers in moments rather than hours, thanks to the solver’s highly efficient use of parallel processing​. Rapid, deterministic computation means faster time-to-solution and improved productivity.

  • Easy Integration – The solver works within standard workflows and tools. With compatibility for D-Wave’s dimod API and a cloud-based service endpoint, it plugs into your existing optimization pipeline with minimal effort​. You can submit problems through a simple Python interface and retrieve solutions seamlessly, making it enterprise-friendly and developer-friendly.

  • Deterministic & Reliable – Unlike quantum annealers or stochastic methods that might give different answers on different runs, the QUBO Solver produces the same result every time for a given problem. This determinism and robustness simplify debugging and analysis. There’s no randomness in the final answer – you know it’s consistently the best.

  • Cost Efficiency – Accessing the solver via the cloud is cost-effective. You get cutting-edge optimization without needing to invest in specialized hardware. Our pay-per-use model (around $0.30 per request) means even small teams can afford to solve tough problems​. It offers a fraction of the cost of quantum hardware or large on-premise solvers while delivering superior accuracy on supported problem sizes.

Technology

Technology

Technology

BEIT’s QUBO Solver employs advanced exact algorithms from computer science and operations research to guarantee optimal results. Formally, a QUBO problem is defined by a symmetric matrix of coefficients representing quadratic interactions between binary variables, and solving it means finding the bit string that minimizes the quadratic objective​. This problem is NP-hard in general​, so brute force search is infeasible for large instances. However, our solver leverages a patented branch-and-bound approach (patented in 2019) augmented with problem-specific heuristics and GPU parallelism to intelligently prune the search space​. It effectively explores possible solutions without needing to enumerate them all, by bounding and cutting off suboptimal regions of the search tree. The use of GPUs allows many computations and bounds to be evaluated in parallel, dramatically speeding up the process of finding the optimum.

BEIT’s QUBO Solver employs advanced exact algorithms from computer science and operations research to guarantee optimal results. Formally, a QUBO problem is defined by a symmetric matrix of coefficients representing quadratic interactions between binary variables, and solving it means finding the bit string that minimizes the quadratic objective​. This problem is NP-hard in general​, so brute force search is infeasible for large instances. However, our solver leverages a patented branch-and-bound approach (patented in 2019) augmented with problem-specific heuristics and GPU parallelism to intelligently prune the search space​. It effectively explores possible solutions without needing to enumerate them all, by bounding and cutting off suboptimal regions of the search tree. The use of GPUs allows many computations and bounds to be evaluated in parallel, dramatically speeding up the process of finding the optimum.

BEIT’s QUBO Solver employs advanced exact algorithms from computer science and operations research to guarantee optimal results. Formally, a QUBO problem is defined by a symmetric matrix of coefficients representing quadratic interactions between binary variables, and solving it means finding the bit string that minimizes the quadratic objective​. This problem is NP-hard in general​, so brute force search is infeasible for large instances. However, our solver leverages a patented branch-and-bound approach (patented in 2019) augmented with problem-specific heuristics and GPU parallelism to intelligently prune the search space​. It effectively explores possible solutions without needing to enumerate them all, by bounding and cutting off suboptimal regions of the search tree. The use of GPUs allows many computations and bounds to be evaluated in parallel, dramatically speeding up the process of finding the optimum.

A unique aspect of the QUBO Solver is its design alignment with quantum annealing hardware. It is optimized to solve QUBO instances mapped onto D-Wave’s Chimera graph architecture (up to 1024 qubits)​. In fact, it’s described as a “GPU solver on half of D-Wave’s 2000Q” quantum annealer chip​. Practically, this means the solver can handle QUBO problems that fit the connectivity of a 1024-qubit Chimera graph (an 8x16x8 qubit lattice). By targeting this structure, our algorithm takes advantage of the sparse, structured nature of Chimera QUBOs to further accelerate the search. It’s as if we exactly solve the same problem that a quantum annealer would attempt, but with classical compute power – yielding the true optimum rather than a sample. This makes the QUBO Solver extremely useful for verifying quantum annealer solutions or tackling cases where you need absolute certainty in the result.

A unique aspect of the QUBO Solver is its design alignment with quantum annealing hardware. It is optimized to solve QUBO instances mapped onto D-Wave’s Chimera graph architecture (up to 1024 qubits)​. In fact, it’s described as a “GPU solver on half of D-Wave’s 2000Q” quantum annealer chip​. Practically, this means the solver can handle QUBO problems that fit the connectivity of a 1024-qubit Chimera graph (an 8x16x8 qubit lattice). By targeting this structure, our algorithm takes advantage of the sparse, structured nature of Chimera QUBOs to further accelerate the search. It’s as if we exactly solve the same problem that a quantum annealer would attempt, but with classical compute power – yielding the true optimum rather than a sample. This makes the QUBO Solver extremely useful for verifying quantum annealer solutions or tackling cases where you need absolute certainty in the result.

A unique aspect of the QUBO Solver is its design alignment with quantum annealing hardware. It is optimized to solve QUBO instances mapped onto D-Wave’s Chimera graph architecture (up to 1024 qubits)​. In fact, it’s described as a “GPU solver on half of D-Wave’s 2000Q” quantum annealer chip​. Practically, this means the solver can handle QUBO problems that fit the connectivity of a 1024-qubit Chimera graph (an 8x16x8 qubit lattice). By targeting this structure, our algorithm takes advantage of the sparse, structured nature of Chimera QUBOs to further accelerate the search. It’s as if we exactly solve the same problem that a quantum annealer would attempt, but with classical compute power – yielding the true optimum rather than a sample. This makes the QUBO Solver extremely useful for verifying quantum annealer solutions or tackling cases where you need absolute certainty in the result.

Integration and Usage: From a developer’s perspective, using the QUBO Solver is straightforward. The technology is exposed through a Python SDK that mirrors the interface of common quantum computing frameworks. For example, you can define a QUBO problem (matrix of coefficients or an dimod.BQM object) and send it to the solver with a single API call. Underneath, our service translates that into the solver’s internal representation and runs the optimized search on cloud GPUs. The result returned includes the optimal binary assignment and the objective value (minimum energy)​. Because the solver is deterministic, you can trust that this result is globally optimal and unique (if multiple optima exist, the solver can even enumerate or sample them given enough time). Technical users can adjust parameters such as timeouts or precision, but generally the solver “just works” – it will either find the proven optimum or inform you if the problem size/topology is beyond its exact solving capability.

Integration and Usage: From a developer’s perspective, using the QUBO Solver is straightforward. The technology is exposed through a Python SDK that mirrors the interface of common quantum computing frameworks. For example, you can define a QUBO problem (matrix of coefficients or an dimod.BQM object) and send it to the solver with a single API call. Underneath, our service translates that into the solver’s internal representation and runs the optimized search on cloud GPUs. The result returned includes the optimal binary assignment and the objective value (minimum energy)​. Because the solver is deterministic, you can trust that this result is globally optimal and unique (if multiple optima exist, the solver can even enumerate or sample them given enough time). Technical users can adjust parameters such as timeouts or precision, but generally the solver “just works” – it will either find the proven optimum or inform you if the problem size/topology is beyond its exact solving capability.

Integration and Usage: From a developer’s perspective, using the QUBO Solver is straightforward. The technology is exposed through a Python SDK that mirrors the interface of common quantum computing frameworks. For example, you can define a QUBO problem (matrix of coefficients or an dimod.BQM object) and send it to the solver with a single API call. Underneath, our service translates that into the solver’s internal representation and runs the optimized search on cloud GPUs. The result returned includes the optimal binary assignment and the objective value (minimum energy)​. Because the solver is deterministic, you can trust that this result is globally optimal and unique (if multiple optima exist, the solver can even enumerate or sample them given enough time). Technical users can adjust parameters such as timeouts or precision, but generally the solver “just works” – it will either find the proven optimum or inform you if the problem size/topology is beyond its exact solving capability.

In summary, BEIT’s QUBO Solver combines the rigor of classical optimization algorithms with the practical integration of quantum computing tools. It demonstrates how quantum-inspired classical software can push the boundaries of what’s possible, delivering exact solutions for problems that matter. For skilled practitioners, it offers a reliable way to tackle QUBOs to optimality, using state-of-the-art techniques in parallel computing and combinatorial optimization – all accessible through a simple cloud interface.

In summary, BEIT’s QUBO Solver combines the rigor of classical optimization algorithms with the practical integration of quantum computing tools. It demonstrates how quantum-inspired classical software can push the boundaries of what’s possible, delivering exact solutions for problems that matter. For skilled practitioners, it offers a reliable way to tackle QUBOs to optimality, using state-of-the-art techniques in parallel computing and combinatorial optimization – all accessible through a simple cloud interface.

In summary, BEIT’s QUBO Solver combines the rigor of classical optimization algorithms with the practical integration of quantum computing tools. It demonstrates how quantum-inspired classical software can push the boundaries of what’s possible, delivering exact solutions for problems that matter. For skilled practitioners, it offers a reliable way to tackle QUBOs to optimality, using state-of-the-art techniques in parallel computing and combinatorial optimization – all accessible through a simple cloud interface.

Our offices

Poland:

Mogilska 43
31-545 Kraków

Canada:

101 College St
Suite H230-1
Toronto

USA:

7757 Baltimore Avenue
Ste 1603

20740 MD College Park

© 2025 BEIT Inc.

Our offices

Poland:

Mogilska 43
31-545 Kraków

Canada:

101 College St
Suite H230-1
Toronto

USA:

7757 Baltimore Avenue
Ste 1603

20740 MD College Park

© 2025 BEIT Inc.

Our offices

Poland:

Mogilska 43
31-545 Kraków

Canada:

101 College St
Suite H230-1
Toronto

USA:

7757 Baltimore Avenue
Ste 1603

20740 MD College Park

© 2025 BEIT Inc.