Optimal allocation of quantum resources
arXiv:2006.16134 · doi:10.22331/q-2021-03-10-407
Abstract
The optimal allocation of resources is a crucial task for their efficient use in a wide range of practical applications in science and engineering. This paper investigates the optimal allocation of resources in multipartite quantum systems. In particular, we show the relevance of proportional fairness and optimal reliability criteria for the application of quantum resources. Moreover, we present optimal allocation solutions for an arbitrary number of qudits using measurement incompatibility as an exemplary resource theory. Besides, we study the criterion of optimal equitability and demonstrate its relevance to scenarios involving several resource theories such as nonlocality vs local contextuality. Finally, we highlight the potential impact of our results for quantum networks and other multi-party quantum information processing, in particular to the future Quantum Internet.
References in corpus (30)
- Quantum entanglement
- The Quantum Internet
- Quantum Resource Theories
- The Resource Theory of Quantum States Out of Thermal Equilibrium
- A Thermodynamical Approach to Quantifying Quantum Correlations
- Entanglement Distillation between Solid-State Quantum Network Nodes
- Quantum advantage with shallow circuits
- Secure key from bound entanglement
- Reversible transformations from pure to mixed states, and the unique measure of information
- General Resource Theories in Quantum Mechanics and Beyond: Operational Characterization via Discrimination Tasks
- Information as a resource in distributed quantum systems
- Maximal violation of the I3322 inequality using infinite dimensional quantum systems
- The resource theory of steering
- Quantifying quantum resources with conic programming
- Operational Advantage of Quantum Resources in Subchannel Discrimination
- All sets of incompatible measurements give an advantage in quantum state discrimination
- On nonlocality as a resource theory and nonlocality measures
- Robustness of Measurement, discrimination games and accessible information
- Operational relevance of resource theories of quantum measurements
- Incompatibility robustness of quantum measurements: a unified framework
- Multiparty Delegated Quantum Computing
- State independent contextuality advances one-way communication
- Robust Device-Independent Randomness Amplification with Few Devices
- Axiomatic approach to contextuality and nonlocality
- Iso-entangled mutually unbiased bases, symmetric quantum measurements and mixed-state designs
- Device-independent Randomness Amplification and Privatization
- Distributed Private Randomness Distillation
- Activation of monogamy in non-locality using local contextuality
- Mutually Unbiased Product Bases for Multiple Qudits
- Entanglement properties of multipartite informationally complete quantum measurements