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Title: Randomizing quantum states to Shatten p -norm for all p ≥ 1

Abstract

We formularize a method for randomizing quantum states with respect to the Shatten p-norms (p ≥ 1) in trace class. In particular, this work includes the operator norm, p = ∞, and the trace norm, p = 1, simultaneously in a single statement via McDiarmid's inequality and a net construction.

Authors:
 [1]
  1. School of Computational Sciences, Korea Institute for Advanced Study, Hoegiro 87, Dongdaemun, Seoul 130-722 (Korea, Republic of)
Publication Date:
OSTI Identifier:
22390678
Resource Type:
Journal Article
Journal Name:
AIP Conference Proceedings
Additional Journal Information:
Journal Volume: 1633; Journal Issue: 1; Conference: 11. International Conference on Quantum Communication, Measurement and Computation, Vienna (Austria), 30 Jul - 3 Aug 2012; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0094-243X
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; CALCULATION METHODS; QUANTUM MECHANICS; QUANTUM OPERATORS; QUANTUM STATES; RANDOMNESS

Citation Formats

Jeong, Kabgyun. Randomizing quantum states to Shatten p -norm for all p ≥ 1. United States: N. p., 2014. Web. doi:10.1063/1.4903127.
Jeong, Kabgyun. Randomizing quantum states to Shatten p -norm for all p ≥ 1. United States. https://doi.org/10.1063/1.4903127
Jeong, Kabgyun. 2014. "Randomizing quantum states to Shatten p -norm for all p ≥ 1". United States. https://doi.org/10.1063/1.4903127.
@article{osti_22390678,
title = {Randomizing quantum states to Shatten p -norm for all p ≥ 1},
author = {Jeong, Kabgyun},
abstractNote = {We formularize a method for randomizing quantum states with respect to the Shatten p-norms (p ≥ 1) in trace class. In particular, this work includes the operator norm, p = ∞, and the trace norm, p = 1, simultaneously in a single statement via McDiarmid's inequality and a net construction.},
doi = {10.1063/1.4903127},
url = {https://www.osti.gov/biblio/22390678}, journal = {AIP Conference Proceedings},
issn = {0094-243X},
number = 1,
volume = 1633,
place = {United States},
year = {Thu Dec 04 00:00:00 EST 2014},
month = {Thu Dec 04 00:00:00 EST 2014}
}