skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Quantum bit commitment with misaligned reference frames

Abstract

Suppose that Alice and Bob define their coordinate axes differently, and the change of reference frame between them is given by a probability distribution {mu} over SO(3). We show that this uncertainty of reference frame is of no use for bit commitment when {mu} is uniformly distributed over a (sub)group of SO(3), but other choices of {mu} can give rise to a partially or even arbitrarily secure bit commitment.

Authors:
 [1]; ;  [2]
  1. Department of Physics, MIT, 77 Massachusetts Ave., Cambridge, Massachusetts 02139 (United States) and Department of Computer Science, University of Bristol, Bristol BS8 1UB (United Kingdom)
  2. IBM Watson Research Center, P.O. Box 218, Yorktown Heights, New York 10598 (United States)
Publication Date:
OSTI Identifier:
20786860
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. A; Journal Volume: 73; Journal Issue: 3; Other Information: DOI: 10.1103/PhysRevA.73.032311; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
74 ATOMIC AND MOLECULAR PHYSICS; COORDINATES; DISTRIBUTION; INFORMATION THEORY; PROBABILITY; QUANTUM CRYPTOGRAPHY; QUANTUM MECHANICS; QUBITS; SECRECY PROTECTION; SO-3 GROUPS

Citation Formats

Harrow, Aram, Oliveira, Roberto, and Terhal, Barbara M. Quantum bit commitment with misaligned reference frames. United States: N. p., 2006. Web. doi:10.1103/PHYSREVA.73.0.
Harrow, Aram, Oliveira, Roberto, & Terhal, Barbara M. Quantum bit commitment with misaligned reference frames. United States. doi:10.1103/PHYSREVA.73.0.
Harrow, Aram, Oliveira, Roberto, and Terhal, Barbara M. Wed . "Quantum bit commitment with misaligned reference frames". United States. doi:10.1103/PHYSREVA.73.0.
@article{osti_20786860,
title = {Quantum bit commitment with misaligned reference frames},
author = {Harrow, Aram and Oliveira, Roberto and Terhal, Barbara M.},
abstractNote = {Suppose that Alice and Bob define their coordinate axes differently, and the change of reference frame between them is given by a probability distribution {mu} over SO(3). We show that this uncertainty of reference frame is of no use for bit commitment when {mu} is uniformly distributed over a (sub)group of SO(3), but other choices of {mu} can give rise to a partially or even arbitrarily secure bit commitment.},
doi = {10.1103/PHYSREVA.73.0},
journal = {Physical Review. A},
number = 3,
volume = 73,
place = {United States},
year = {Wed Mar 15 00:00:00 EST 2006},
month = {Wed Mar 15 00:00:00 EST 2006}
}