Inequivalent Quantum Resources from Multipartite State Discrimination
Abstract
Any two orthogonal quantum states can be perfectly distinguished via local operations and classical communication (LOCC), yet whether all orthogonal multipartite pairs incur an identical operational cost remains an open question. Here, we address the resource consumption required for local state discrimination across multipartite pair of states. We demonstrate that distinct pairs of orthogonal multipartite maximally entangled states require unequal amounts of quantum resources to achieve local distinguishability. Extending our framework beyond individual pairs, we analyze larger sets of both locally distinguishable and indistinguishable multipartite orthogonal states, revealing a nontrivial hierarchy in their entanglement consumption. These results show that the resource cost of LOCC discrimination is state-dependent, providing insight into the fine-grained structure of multipartite nonlocality.
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BibTeX
@misc{das2026inequivalent,
title = {{Inequivalent Quantum Resources from Multipartite State Discrimination}},
author = {Srijani Das and Tuhin Paul and Manasi Patra and Atanu Bhunia and Ramij Rahaman},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.10143},
eprint = {2610.10143},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.10143},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Inequivalent Quantum Resources from Multipartite State Discrimination
AU - Srijani Das
AU - Tuhin Paul
AU - Manasi Patra
AU - Atanu Bhunia
AU - Ramij Rahaman
PY - 2026
DA - 2026/10/07
PB - arXiv
DO - 10.48550/arxiv.2610.10143
UR - https://arxiv.org/abs/2610.10143
AB - Any two orthogonal quantum states can be perfectly distinguished via local operations and classical communication (LOCC), yet whether all orthogonal multipartite pairs incur an identical operational cost remains an open question. Here, we address the resource consumption required for local state discrimination across multipartite pair of states. We demonstrate that distinct pairs of orthogonal multipartite maximally entangled states require unequal amounts of quantum resources to achieve local distinguishability. Extending our framework beyond individual pairs, we analyze larger sets of both locally distinguishable and indistinguishable multipartite orthogonal states, revealing a nontrivial hierarchy in their entanglement consumption. These results show that the resource cost of LOCC discrimination is state-dependent, providing insight into the fine-grained structure of multipartite nonlocality.
ER -