Uncertainty Relations in Implementation of Unitary Operations

Hiroyasu Tajima, Naoto Shiraishi, Keiji Saito

研究成果: Article査読

8 被引用数 (Scopus)

抄録

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.

本文言語English
論文番号110403
ジャーナルPhysical review letters
121
11
DOI
出版ステータスPublished - 2018 9 13

ASJC Scopus subject areas

  • 物理学および天文学(全般)

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