Measuring polynomial invariants of multiparty quantum states

Journal Article · Sat May 01 04:00:00 EDT 2004 · Physical Review. A

DOI:https://doi.org/10.1103/PhysRevA.69.052304· OSTI ID:20641117

Leifer, M S; Linden, N; Winter, A ^[1]

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1. Department of Mathematics, University of Bristol, University Walk, Bristol, BS8 1TW (United Kingdom)

We present networks for directly estimating the polynomial invariants of multiparty quantum states under local transformations. The structure of these networks is closely related to the structure of the invariants themselves and this lends a physical interpretation to these otherwise abstract mathematical quantities. Specifically, our networks estimate the invariants under local unitary (LU) transformations and under stochastic local operations and classical communication (SLOCC). Our networks can estimate the LU invariants for multiparty states, where each party can have a Hilbert space of arbitrary dimension and the SLOCC invariants for multiqubit states. We analyze the statistical efficiency of our networks compared to methods based on estimating the state coefficients and calculating the invariants.

• OSTI ID: 20641117
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 5 Vol. 69; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
CORRELATIONS
DATA TRANSMISSION
EFFICIENCY
ENERGY LEVELS
HILBERT SPACE
INFORMATION THEORY
NETWORK ANALYSIS
POLYNOMIALS
QUANTUM MECHANICS
QUANTUM OPERATORS
TRANSFORMATIONS