Entanglement cost of two-qubit orthogonal measurements

Abstract

The "entanglement cost" of a bipartite measurement is the amount of shared entanglement two participants need to use up in order to carry out the given measurement by means of local operations and classical communication. Here we numerically investigate the entanglement cost of generic orthogonal measurements on two qubits. Our results strongly suggest that for almost all measurements of this kind, the entanglement cost is strictly greater than the average entanglement of the eigenstates associated with the measurements, implying that the nonseparability of a two-qubit orthogonal measurement is generically distinct from the nonseparability of its eigenstates.

Latex, 4 pages, minor changes

References in corpus (2)

• Entanglement Cost of Nonlocal Measurements
• Implementation of multipartite unitary operations with limited resources

Cited by in corpus (21)

• Several nonlocal sets of multipartite pure orthogonal product states
• Limitations on separable measurements by convex optimization
• Genuinely Nonlocal Product Bases: Classification and Entanglement Assisted Discrimination
• Entanglement as a resource for local state discrimination in multipartite systems
• Optimal resource states for local state discrimination
• Distinguishability classes, resource sharing, and bound entanglement distribution
• Locally distinguish unextendible product bases by efficiently using entanglement resource
• Locally distinguishing quantum states with limited classical communication
• Nonlocality of tripartite orthogonal product states
• Distillation of free entanglement from bound entangled states using weak measurements
• Nonlocality without entanglement: Party asymmetric case
• Entanglement cost of discriminating noisy Bell states by local operations and classical communication
• Strong quantum nonlocality: Unextendible biseparability beyond unextendible product basis
• More assistance of entanglement, less rounds of classical communication
• Exploring strong locality : Quantum state discrimination regime and beyond
• Distributed Encoding and Decoding of Quantum Information over Networks
• Locally distinguishing a maximally entangled basis using shared entanglement
• Classifying locally distinguishable sets: No activation across bipartitions
• Non-locality of conjugation symmetry: characterization and examples in quantum network sensing
• Genuinely entangled subspaces beyond strongly nonlocal unextendible biseparable bases
• Discrimination of Quantum States under Local Operations and Classical Communication