2018/05/31 by Titas Chanda, Tamoghna Das, Shiladitya Mal +3
Computer Science · Mathematics · Physics and Astronomy · #Algorithm #Constraint (computer-aided design) #Context (archaeology) #Dephasing #Energy (signal processing) #Markov process #Mathematics #Noncommutative and Quantum Gravity Theories #Noncommutative geometry #Physics #Pure mathematics #Quantum #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum mechanics #Robustness (evolution) #State (computer science) #Statistical physics #Statistics #quant-ph
paper · pdf · doi:10.1103/physreva.98.022138
published as Phys. Rev. A 98, 022138 (2018) · 8 pages, 6 figures, close to published version
openalex publication_date 2018/08/29 · arxiv created 2018/09/09 · arxiv updated 2018/09/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Nonclassicality of temporal correlations pertaining to noncommutative sequential measurements is defined through the violation of macrorealistic inequalities, known as Leggett-Garg inequalities (LGI). We investigate the energy cost of the process associated with the Leggett-Garg test in the context of noiseless and Markovian noise for arbitrary initial states. We prove that in noiseless and in certain noisy scenarios, the maximal violations of LGI under the energy constraint occurs when the average energy of the process is equal to the negative of the energy of the initial state. Such a dependence of LGI on the choice of the initial state is not seen in the unconstrained case. Moreover, we find that in the presence of a moderate amount of Markovian noise, the amount of violation of LGI remains almost unaltered with a suitable choice of the evolution and dephasing operators in the neighborhood of the maximal violation line, thereby showing the robustness of temporal correlations under environmental effects.