Access the full text.
Sign up today, get DeepDyve free for 14 days.
Loading next page...
/lp/springer-journals/a-characterization-of-global-entanglement-ebvlZsmPjj
References (24)
-
J. Bell (1966)
On the Problem of Hidden Variables in Quantum MechanicsReviews of Modern Physics, 38
-
A. Aspect, P. Grangier, G. Roger (1981)
Experimental Tests of Realistic Local Theories via Bell's TheoremPhysical Review Letters, 47
-
A. Scott (2003)
Multipartite entanglement, quantum-error-correcting codes, and entangling power of quantum evolutionsPhysical Review A, 69
-
M. Grajcar, A. Izmalkov, S. Ploeg, S. Linzen, T. Plecenik, T. Wagner, U. Hübner, H. Ilíchev, H. Meyer, A. Smirnov, P. Love, Alec Brink, M.H.S. Armin, S. Uchaikin, A. Zagoskin (2005)
Four-qubit device with mixed couplings.Physical review letters, 96 4
-
N. Wallach (2005)
The Hilbert Series of Measures of Entanglement for 4 QubitsActa Applicandae Mathematica, 86
-
E. Farhi, J. Goldstone, S. Gutmann, Joshua Lapan, A. Lundgren, Daniel Preda (2001)
A Quantum Adiabatic Evolution Algorithm Applied to Random Instances of an NP-Complete ProblemScience, 292
-
Christian Monyk (2019)
Quantum CryptographyFoundations of Physics, 40
-
G. Vidal (1998)
On the characterization of entanglementJournal of Modern Optics, 47
-
(2001)
Science 292 -
N. Linden, S. Popescu, A. Sudbery (1998)
Non-local properties of multi-particle density matricesPhysical Review Letters, 83
-
A. Einstein, B. Podolsky, N. Rosen (1935)
Can Quantum-Mechanical Description of Physical Reality Be Considered Complete?Physical Review, 47
-
Y. Greenberg, A. Izmalkov, M. Grajcar, E. Il'ichev, W. Krech, H. Meyer (2002)
Method for direct observation of coherent quantum oscillations in a superconducting phase qubitPhysical Review B, 66
-
R. Brylinski, Goong Chen (2002)
Mathematics of Quantum Computation -
A. Osterloh, J. Siewert (2005)
ENTANGLEMENT MONOTONES AND MAXIMALLY ENTANGLED STATES IN MULTIPARTITE QUBIT SYSTEMSInternational Journal of Quantum Information, 04
-
Timothy Havel (2002)
The Real Density MatrixQuantum Information Processing, 1
-
A. Osterloh, J. Siewert (2004)
Constructing N-qubit entanglement monotones from antilinear operators (4 pages)Physical Review A, 72
-
M. Bourennane, Manfred Eibl, C. Kurtsiefer, S. Gaertner, H. Weinfurter, O. Gühne, P. Hyllus, D. Bruß, M. Lewenstein, A. Sanpera (2003)
Experimental detection of multipartite entanglement using witness operators.Physical review letters, 92 8
-
D. Meyer, N. Wallach (2001)
Global entanglement in multiparticle systemsJournal of Mathematical Physics, 43
-
H. Carteret, A. Higuchi, A. Sudbery (2000)
Multipartite generalization of the Schmidt decompositionJournal of Mathematical Physics, 41
-
H. Aschauer, J. Calsamiglia, M. Hein, H. Briegel (2003)
Local invariants for multi-partite entangled states allowing for a simple entanglement criterionQuantum Inf. Comput., 4
-
G. Vidal (2003)
Efficient classical simulation of slightly entangled quantum computations.Physical review letters, 91 14
-
W. Dür, G. Vidal, J. Cirac (2000)
Three qubits can be entangled in two inequivalent waysPhysical Review A, 62
-
W. Wootters (1997)
Entanglement of Formation of an Arbitrary State of Two QubitsPhysical Review Letters, 80
-
Chang-shui Yu, He-Shan Song (2006)
Global entanglement for multipartite quantum statesPhysical Review A, 73
- Publisher
- Springer Journals
- Copyright
- Copyright © 2007 by Springer Science+Business Media, LLC
- Subject
- Physics; Characterization and Evaluation of Materials; Computer Science, general ; Engineering, general; Mathematics, general; Physics, general
- ISSN
- 1570-0755
- eISSN
- 1573-1332
- DOI
- 10.1007/s11128-007-0052-7
- Publisher site
- See Article on Publisher Site
Abstract
We define a set of 2 n−1−1 entanglement monotones for n qubits and give a single measure of entanglement in terms of these. This measure is zero except on globally entangled (fully inseparable) states. This measure is compared to the Meyer–Wallach measure for two, three, and four qubits. We determine the four-qubit state, symmetric under exchange of qubit labels, which maximizes this measure. It is also shown how the elementary monotones may be computed as a function of observable quantities. We compute the magnitude of our measure for the ground state of the four-qubit superconducting experimental system investigated in [M. Grajcar et al., Phys. Rev. Lett. 96, 047006 (2006)], and thus confirm the presence of global entanglement in the ground state.
Journal
Quantum Information Processing – Springer Journals
Published: May 15, 2007