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Creation of quantum coherence with general measurement processes

2020/04/30 by Sanuja D. Mohanty, Gautam Sharma, Sk Sazim +3
Computer Science · Physics and Astronomy · #Coherence (philosophical gambling strategy) #Coherence length #Coherence theory #Computer science #Open quantum system #POVM #Physics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum entanglement #Quantum mechanics #Quantum operation #Statistical physics #Theoretical computer science #quant-ph

paper · pdf · doi:10.1007/s11128-021-03394-5

published as Quantum Information Processing, 21, 48 (2022) · 8 pages, 4 figures, updated manuscript, and one new author, Gautam Sharma, added

arxiv created 2021/12/07 · openalex publication_date 2022/01/19 · arxiv updated 2022/03/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Quantum measurement not only can destroy coherence but also can create it. Here, we estimate the maximum amount of coherence, one can create under a complete non-selective measurement process. For our analysis, we consider projective as well as POVM measurements. Based on our observations, we characterize the measurement processes into two categories, namely, the measurements with the ability to induce coherence and the ones without this ability. Our findings also suggest that the more POVM elements present in a measurement that acts on the quantum system, the less will be its coherence creating ability. We also introduce the notion of raw coherence in the POVMs that helps to create quantum coherence. Finally, we find a trade-off relation between the coherence creation, entanglement generation between system and apparatus, and the mixedness of the system in a general measurement setup.

Citations