More assistance of entanglement, less rounds of classical communication
arXiv:2303.13645 · doi:10.1088/1751-8121/aceddb
Abstract
Classical communication plays a crucial role to distinguish locally a class of quantum states. Despite considerable advances, we have very little knowledge about the number of measurement and communication rounds needed to implement a discrimination task by local quantum operations and classical communications (in short, LOCC). In this letter, we are able to show the relation between round numbers with the local discrimination of a set of pure bipartite orthogonal quantum states. To demonstrate the possible strong dependence on the round numbers, we consider a class of orthogonal product states in , which require at least round of classical communications. Curiously the round number can be reduced to by the assistance of one-ebit of entanglement as resource and can be reduced further by assistance of more entanglement. We are also able to show that the number of LOCC rounds needed for a discrimination task may depend on the amount of entanglement assistances.
11 pages, 3 figures, revtex, comments welcome
References in corpus (8)
- Multipartite Nonlocality without Entanglement in Many Dimensions
- Distinguishing Arbitrary Multipartite Basis Unambiguously Using Local Operations and Classical Communication
- Understanding entanglement as resource: locally distinguishing unextendible product bases
- Local distinguishability with preservation of entanglement
- Local distinguishability of orthogonal 2\otimes3 pure states
- Local Distinguishability of Orthogonal Quantum States and Generators of SU(N)
- Nonlocality without entanglement: Party asymmetric case
- Unextendible entangled bases and more nonlocality with less entanglement