2017/09/30 by Hiroyasu Tajima, Naoto Shiraishi, Keiji Saito
Computer Science · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Computer science #Energy (signal processing) #Law #Mechanism (biology) #Physical system #Physics #Quantum #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum mechanics #Statistical physics #Theoretical physics #Unitary state #Unitary transformation #cond-mat.stat-mech #quant-ph
paper · pdf · doi:10.1103/physrevlett.121.110403
published as Phys. Rev. Lett. 121, 110403 (2018) · 15 pages, 3 figures
openalex publication_date 2018/09/13 · arxiv created 2018/09/14 · arxiv updated 2018/09/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
The underlying mechanism in the implementation of unitary operation on a system with an external apparatus is studied. We implement the unitary time evolution in the system as a physical phenomenon that results from the interaction between the system and the apparatus. We investigate the fundamental limitation of an accurate implementation for the desired unitary time evolution. This limitation is manifested in the form of trade-off relations between the accuracy of the implementation and quantum fluctuation of energy in the external apparatus. Our relations clearly show that an accurate unitary operation requires a large energy fluctuation inside the apparatus originated from the quantum fluctuation.