Please use this identifier to cite or link to this item: https://doi.org/10.1103/PhysRevA.88.052309
Title: Four-qubit pure states as fermionic states
Authors: Chen, L.
Crossed D Signoković, D.Z.
Grassl, M. 
Zeng, B.
Issue Date: 11-Nov-2013
Citation: Chen, L., Crossed D Signoković, D.Z., Grassl, M., Zeng, B. (2013-11-11). Four-qubit pure states as fermionic states. Physical Review A - Atomic, Molecular, and Optical Physics 88 (5) : -. ScholarBank@NUS Repository. https://doi.org/10.1103/PhysRevA.88.052309
Abstract: The embedding of the n-qubit space into the n-fermion space with 2n modes is a widely used method in studying various aspects of these systems. This simple mapping raises a crucial question: Does the embedding preserve the entanglement structure? It is known that the answer is affirmative for n=2 and n=3. That is, under either local unitary (LU) operations or with respect to stochastic local operations and classical communication (SLOCC), there is a one-to-one correspondence between the two- (or three)-qubit orbits and the two- (or three)-fermion orbits with four (or six) modes. However, these results do not generalize as the mapping from the n-qubit orbits to the n-fermion orbits with 2n modes is no longer surjective for n>3. Here we consider the case of n=4. We show that, surprisingly, the mapping of orbits from qubits to fermions is injective under SLOCC, and a similar result holds under LU for generic orbits. As a by-product, we obtain a complete answer to the problem of SLOCC equivalence of pure four-qubit states. © 2013 American Physical Society.
Source Title: Physical Review A - Atomic, Molecular, and Optical Physics
URI: http://scholarbank.nus.edu.sg/handle/10635/112440
ISSN: 10502947
DOI: 10.1103/PhysRevA.88.052309
Appears in Collections:Staff Publications

Show full item record
Files in This Item:
There are no files associated with this item.

SCOPUSTM   
Citations

8
checked on Aug 17, 2018

WEB OF SCIENCETM
Citations

7
checked on Aug 8, 2018

Page view(s)

29
checked on Aug 3, 2018

Google ScholarTM

Check

Altmetric


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.