Information Theory Approach to CorrelationsNo Access

MATRIX PRODUCT STATE REPRESENTATION FOR SLATER DETERMINANTS AND CONFIGURATION INTERACTION STATES

PIETRO SILVI

Institut für Quanteninformationsverarbeitung, Universität Ulm, D-89069 Ulm, Germany

International School for Advanced Studies (SISSA), Via Bonomea 265, I-34136 Trieste, Italy

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DAVIDE ROSSINI

NEST, Scuola Normale Superiore and Istituto di Nanoscienze – CNR, Pisa, Italy

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ROSARIO FAZIO

NEST, Scuola Normale Superiore and Istituto di Nanoscienze – CNR, Pisa, Italy

Center for Quantum Technologies, National University of Singapore, Republic of Singapore

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GIUSEPPE E. SANTORO

International School for Advanced Studies (SISSA), Via Bonomea 265, I-34136 Trieste, Italy

International Centre for Theoretical Physics (ICTP), P. O. Box 586, I-34014 Trieste, Italy

CNR-IOM Democritos National Simulation Center, Via Bonomea 265, I-34136 Trieste, Italy

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VITTORIO GIOVANNETTI

NEST, Scuola Normale Superiore and Istituto di Nanoscienze – CNR, Pisa, Italy

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https://doi.org/10.1142/S021797921345029XCited by:6 (Source: Crossref)

Abstract

Slater determinants are product states of filled quantum fermionic orbitals. When they are expressed in a configuration space basis chosen a priori, their entanglement is bound and controlled. This suggests that an exact representation of Slater determinants as finitely-correlated states is possible. In this paper we analyze this issue and provide an exact Matrix Product representation for Slater determinant states. We also argue possible meaningful extensions that embed more complex configuration interaction states into the description.

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