Class of highly entangled many-body states that can be efficiently simulated

We describe a quantum circuit that produces a highly entangled state of N qubits from which one can efficiently compute expectation values of local observables. This construction yields a variational ansatz for quantum many-body states that can be regarded as a generalization of the multiscale entan...

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Bibliographic Details
Published in:Physical review letters 2014-06, Vol.112 (24), p.240502-240502, Article 240502
Main Authors: Evenbly, G, Vidal, G
Format: Article
Language:English
Subjects:
Boundaries
Circuits
Computer simulation
Construction
Entangled states
Entanglement
Lattices
Qubits (quantum computing)
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Summary:We describe a quantum circuit that produces a highly entangled state of N qubits from which one can efficiently compute expectation values of local observables. This construction yields a variational ansatz for quantum many-body states that can be regarded as a generalization of the multiscale entanglement renormalization ansatz (MERA), which we refer to as the branching MERA. In a lattice system in D dimensions, the scaling of entanglement of a region of size L(D) in the branching MERA is not subject to restrictions such as a boundary law L(D-1), but can be proportional to the size of the region, as we demonstrate numerically.
ISSN:0031-9007
1079-7114
DOI:10.1103/PhysRevLett.112.240502