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

Title: Quantum money with classical verification

Abstract

We propose and construct a quantum money scheme that allows verification through classical communication with a bank. This is the first demonstration that a secure quantum money scheme exists that does not require quantum communication for coin verification. Our scheme is secure against adaptive adversaries - this property is not directly related to the possibility of classical verification, nevertheless none of the earlier quantum money constructions is known to possess it.

Authors:
 [1]
  1. NEC Laboratories America, Princeton, NJ (United States)
Publication Date:
OSTI Identifier:
22390669
Resource Type:
Journal Article
Resource Relation:
Journal Name: AIP Conference Proceedings; 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)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; COMMERCIAL BUILDINGS; DATA TRANSMISSION; INTEREST GROUPS; QUANTUM MECHANICS; VERIFICATION

Citation Formats

Gavinsky, Dmitry. Quantum money with classical verification. United States: N. p., 2014. Web. doi:10.1063/1.4903116.
Gavinsky, Dmitry. Quantum money with classical verification. United States. doi:10.1063/1.4903116.
Gavinsky, Dmitry. Thu . "Quantum money with classical verification". United States. doi:10.1063/1.4903116.
@article{osti_22390669,
title = {Quantum money with classical verification},
author = {Gavinsky, Dmitry},
abstractNote = {We propose and construct a quantum money scheme that allows verification through classical communication with a bank. This is the first demonstration that a secure quantum money scheme exists that does not require quantum communication for coin verification. Our scheme is secure against adaptive adversaries - this property is not directly related to the possibility of classical verification, nevertheless none of the earlier quantum money constructions is known to possess it.},
doi = {10.1063/1.4903116},
journal = {AIP Conference Proceedings},
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}
}
  • We present experimental measurements of the mean energy in the vicinity of the first and second quantum resonances of the atom-optics kicked rotor for a number of different experimental parameters. Our data are rescaled and compared with the one-parameter ({epsilon}) classical scaling function developed to describe the quantum resonance peaks. Additionally, experimental data are presented for the 'classical' resonance which occurs in the limit as the kicking period goes to zero. This resonance is found to be analogous to the quantum resonances, and a similar one-parameter classical scaling function is derived, and found to match our experimental results. The widthsmore » of the quantum and classical resonance peaks are compared, and their sub-Fourier nature examined.« less
  • Both quantum and classical sine--Gordon fields can be built out of the fundamental free neutral massive excitations, which quantally obey the Bose--Einstein statistics. At the roots of the ''boson-fermion reciprocity'' invented by Coleman, lies the spin 1/2 approximation of the underlying Bose system. By generalizing the coherent state methods to incorporate non-Fock quantum structures and to give account of the so-called boson transformation theory, we construct the carrier Hilbert space H/sub SG/ for quantum soliton operators. The h..-->..0 limit of state expectation values of these operators among pure coherentlike states in H/sub SG/ reproduces the classical sine--Gordon field. The relatedmore » (classical and quantum) spin 1/2 xyz Heisenberg model field is built out of the fundamental sine--Gordon excitations, and hence can be consistently defined on the appropriate subset of the quantum soliton Hilbert space H/sub x/yz . A correct classical limit is here shown to arise for the Heisenberg system: phase manifolds of the classical Heisenberg and sine--Gordon systems cannot be then viewed independently as a consequence of the quantum relation.« less
  • Exact solutions in the classical Yang-Mills-Wong theory enable explaining a number of enigmatic classical features of subnuclear realm. Moreover, they reveal some unexpected quantum features of this classical treatment.
  • The apparent discrepancies of the classical theory of helical transport in stellarators, versus two recent numerical studies of stellarator transport, are investigated. Numerical results are presented, verifying the classical theory, when the model for the magnetic field has the simple form assumed by the classical theory. When the helical contribution to the total transport is isolated numerically, and the different energy dependence of the particle distribution is accounted for, the results of one of the numerical studies is brought into substantial agreement with theory. It is argued that the anomalously favorable low collisionality results of the second numerical study aremore » due partially to numerical procedure, and partly to a more complicated spatial dependence of the magnetic field.« less