Quantum dichotomies and coherent thermodynamics beyond first-order asymptotics
METADATA ONLY
Loading...
Author / Producer
Date
2023-06-17
Publication Type
Working Paper
ETH Bibliography
yes
Citations
Altmetric
METADATA ONLY
Data
Rights / License
Abstract
We address the problem of exact and approximate transformation of quantum dichotomies in the asymptotic regime, i.e., the existence of a quantum channel E mapping ρ⊗n1 into ρ⊗Rnn2 with an error ϵn (measured by trace distance) and σ⊗n1 into σ⊗Rnn2 exactly, for a large number n. We derive second-order asymptotic expressions for the optimal transformation rate Rn in the small, moderate, and large deviation error regimes, as well as the zero-error regime, for an arbitrary pair (ρ1,σ1) of initial states and a commuting pair (ρ2,σ2) of final states. We also prove that for σ1 and σ2 given by thermal Gibbs states, the derived optimal transformation rates in the first three regimes can be attained by thermal operations. This allows us, for the first time, to study the second-order asymptotics of thermodynamic state interconversion with fully general initial states that may have coherence between different energy eigenspaces. Thus, we discuss the optimal performance of thermodynamic protocols with coherent inputs and describe three novel resonance phenomena allowing one to significantly reduce transformation errors induced by finite-size effects. What is more, our result on quantum dichotomies can also be used to obtain, up to second-order asymptotic terms, optimal conversion rates between pure bipartite entangled states under local operations and classical communication.
Permanent link
Publication status
published
Editor
Book title
Journal / series
Volume
Pages / Article No.
2303.05524
Publisher
Cornell University
Event
Edition / version
v2
Methods
Software
Geographic location
Date collected
Date created
Subject
Quantum Physics (quant-ph); Information Theory (cs.IT); Mathematical Physics (math-ph); FOS: Physical sciences; FOS: Computer and information sciences
Organisational unit
03781 - Renner, Renato / Renner, Renato
Notes
Funding
186364 - (QuantEOM) Quantum-coherent electro-optic microwave-to-optical conversion with GaP and BaTiO3 (SNF)
185902 - QSIT - Quantum Science and Technology (SNF)
185902 - QSIT - Quantum Science and Technology (SNF)
Related publications and datasets
Is previous version of: