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Moderate Deviation Analysis for Quantum State Transfer

Ramakrishnan, Navneeth and Tomamichel, Marco and Berta, Mario (2021) Moderate Deviation Analysis for Quantum State Transfer. In: 2021 IEEE Information Theory Workshop (ITW). IEEE , Piscataway, NJ, pp. 1-6. ISBN 978-1-6654-0312-2.

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Quantum state transfer involves two parties who use pre-shared entanglement and noiseless communication in order to transfer parts of a quantum state. In this work, we quantity the communication cost of one-shot state splitting in terms of the partially smoothed max-information. We then give an analysis of state splitting in the moderate deviation regime, where the error in the protocol goes sub-exponentially fast to zero as a function of the number of i.i.d. copies. The main technical tool we derive is a tight relation between the partially smoothed max-information and the hypothesis testing relative entropy, which allows us to obtain the expansion of the partially smoothed max-information for i.i.d. states in the moderate deviation regime. This then also establishes the moderate deviation analysis for other variants of state transfer such as state merging and source coding.

Item Type:Book Section
Related URLs:
URLURL TypeDescription
Tomamichel, Marco0000-0001-5410-3329
Berta, Mario0000-0002-0428-3429
Additional Information:© 2021 IEEE. This work was completed prior to MB joining the AWS Center for Quantum Computing. We thank Michael Cao for useful discussions. MT is supported by the National Research Foundation, Prime Minister’s Office, Singapore and the Ministry of Education, Singapore under the Research Centres of Excellence programme, as well as NUS startup grants (R-263-000-E32-133 and R-263-000-E32-731).
Group:Institute for Quantum Information and Matter, AWS Center for Quantum Computing
Funding AgencyGrant Number
National Research Foundation (Singapore)UNSPECIFIED
Ministry of Education (Singapore)UNSPECIFIED
Prime Minister's Office (Singapore)UNSPECIFIED
National University of SingaporeR-263-000-E32-133
National University of SingaporeR-263-000-E32-731
Record Number:CaltechAUTHORS:20220722-768863000
Persistent URL:
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:115772
Deposited By: George Porter
Deposited On:26 Jul 2022 20:18
Last Modified:26 Jul 2022 20:18

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