Entanglement entropy of multipartite pure states
- Landau Institute for Theoretical Physics, Kosygina Street 2, Moscow 117940 (Russian Federation)
Consider a system consisting of n d-dimensional quantum particles and an arbitrary pure state vertical bar {psi}> of the whole system. Suppose we simultaneously perform complete von Neumann measurements on each particle. The Shannon entropy of the outcomes' joint probability distribution is a functional of the state vertical bar {psi}> and of n measurements chosen for each particle. Denote S[{psi}] the minimum of this entropy over all choices of the measurements. We show that S[{psi}] coincides with the entropy of entanglement for bipartite states. We compute S[{psi}] for some special multipartite states: the hexacode state vertical bar H> (n=6, d=2) and the determinant states vertical bar Det{sub n}> (d=n). The computation yields S[H]=4 log 2 and S[Det{sub n}]=log(n{exclamation_point}). Counterparts of the determinant state defined for d<n are also considered.
- OSTI ID:
- 20634091
- Journal Information:
- Physical Review. A, Vol. 67, Issue 1; Other Information: DOI: 10.1103/PhysRevA.67.012313; (c) 2003 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1050-2947
- Country of Publication:
- United States
- Language:
- English
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