Indistinguishability-enabled coherence for quantum metrology

Castellini, Alessia; Lo Franco, Rosario; Lami, Ludovico; Winter, Andreas; Adesso, Gerardo; Compagno, Giuseppe

Abstract

Quantum coherence plays a fundamental and operational role in different areas of physics. A resource theory has been developed to characterize the coherence of distinguishable particles systems. Here we show that indistinguishability of identical particles is a source of coherence, even when they are independently prepared. In particular, under spatially local operations, states that are incoherent for distinguishable particles, can be coherent for indistinguishable particles under the same procedure. We present a phase discrimination protocol, in which we demonstrate the operational advantage of using two indistinguishable particles rather than distinguishable ones. The coherence due to the quantum indistinguishability significantly reduces the error probability of guessing the phase, using the most general measurements. The role played by particle statistics in the protocol is also investigated.

Citation

Castellini, A., Lo Franco, R., Lami, L., Winter, A., Adesso, G., & Compagno, G. (2019). Indistinguishability-enabled coherence for quantum metrology. Physical Review A, 100(1), Article 012308. https://doi.org/10.1103/physreva.100.012308

• Journal Article Type: Article
• Acceptance Date: Jun 13, 2019
• Online Publication Date: Jul 8, 2019
• Publication Date: Jul 8, 2019
• Deposit Date: Jul 29, 2019
• Publicly Available Date: Jul 29, 2019
• Journal: Physical Review A
• Print ISSN: 2469-9926
• Electronic ISSN: 2469-9934
• Publisher: American Physical Society
• Peer Reviewed: Peer Reviewed
• Volume: 100
• Issue: 1
• Article Number: 012308
• DOI: https://doi.org/10.1103/physreva.100.012308
• Public URL: https://nottingham-repository.worktribe.com/output/2351367
• Publisher URL: https://journals.aps.org/pra/abstract/10.1103/PhysRevA.100.012308