Energy requirement for implementing unitary gates on energy-unbounded systems

Author:

Yang YuxiangORCID,Renner RenatoORCID,Chiribella GiulioORCID

Abstract

Abstract The processing of quantum information always has a cost in terms of physical resources such as energy or time. Determining the resource requirements is not only an indispensable step in the design of practical devices—the resources need to be actually provided—but may also yield fundamental constraints on the class of processes that are physically possible. Here we study how much energy is required to implement a desired unitary gate on a quantum system with a non-trivial energy spectrum. We derive a general lower bound on the energy requirement, extending the main result of Chiribella et al (2021 Phys. Rev. X 11 021014) from finite dimensional systems to systems with unbounded Hamiltonians. Such an extension has immediate applications in quantum information processing with optical systems, and allows us to provide bounds on the energy requirement of continuous variable quantum gates, such as displacement and squeezing gates.

Funder

Hong Kong Research Grant Council

Swiss National Science Foundation

HKU Seed Fund for Basic Research for New Staff

Natural Science Foundation of Guangdong Province

National Center for Competence

Publisher

IOP Publishing

Subject

General Physics and Astronomy,Mathematical Physics,Modeling and Simulation,Statistics and Probability,Statistical and Nonlinear Physics

Reference43 articles.

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