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Quantum Bridge Analytics I: a tutorial on formulating and using QUBO models
It is shown how many different types of constraining relationships arising in practice can be embodied within the "unconstrained" QUBO formulation in a very natural manner using penalty functions, yielding exact model representations in contrast to the approximate representations produced by customary uses of penalty functions.
Quantum Bridge Analytics II: QUBO-Plus, network optimization and combinatorial chaining for asset exchange
It is shown how the modeling and solution capability for the AEP instance of QUBO-Plus models provides a framework for solving a broad range of problems arising in financial, industrial, scientific, and social settings.
Masking Quantum Information Encoded in Pure and Mixed States
Masking of quantum information means that information is hidden from a subsystem and spread over a composite system. Modi et al. proved in [Phys. Rev. Lett. 120, 230501 (2018)] that this is true for…
Quantum multipartite maskers vs. quantum error-correcting codes
Since masking of quantum information was introduced by Modi et al. in Modi K. et al., Phys. Rev. Lett., 120 (2018) 230501, many discussions on this topic have been published. In this paper, we…
Quantum Bridge Analytics II: Combinatorial Chaining for Asset Exchange
Solutions to the AEP enable individuals or institutions to take fuller advantage of solutions to their QUBO models by exchanges of assets that benefit all participants, and are presented that show the nature of these processes from a tutorial perspective.
Masking quantum information into a tripartite syste
Since masking of quantum information was introduced by Modi et al. in [PRL 120, 230501 (2018)], many discussions on this topic have been published. In this paper, we consider relationship between…
Quantum Bridge Analytics II: Network Optimization and Combinatorial Chaining for Asset Exchange
It is shown how modeling and solution capability gives rise to an Asset Exchange Technology that embraces a broad range of financial, industrial, scientific and social settings and opens the door to additional links to quantum computing applications and additional applications via the Quantum Bridge Analytics perspective.
Solving Clique Partitioning Problems: A Comparison of Models and Commercial Solvers
- Y. Du, G. Kochenberger, Takeshi Tsuyuguchi
- Computer ScienceInt. J. Inf. Technol. Decis. Mak.
- 11 August 2021
This paper explores the use of three commercial solvers on modest sized test problems for clique partitioning and indicates that the quadratic model outperforms the classic linear model as problem size grows.