Non-unitary dynamics in N-qubit quantum circuits and its link with complex temperature statistical mechanics of the Ising Model

ORAL

Abstract

This talk primarily focuses on the relationship between non-unitary dynamics of a N-qubit quantum circuits with measurement and the spin-spin correlations of the N-leg Ising ladder at complex temperatures. In the large N-limit of the Ising ladder, we will show that there is a finite region in the complex fugacity plane in which spin-spin correlations exhibit incommensurate oscillatory (quasi)long range correlations. We argue that these are due to 'partial unitarity' of an associated N-qubit quantum circuit, whereby some coherence is retained in the long time limit. We also show that there exists special points in the complex fugacity plane where full unitarity is recovered.

*NSF DMR 1508538
NSF DMR 1653271

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Presenters

  • Sankhya Basu

    • Dept. of Physics, The Graduate Center and College of Staten Island, City University of New York

Authors

  • Sankhya Basu

    • Dept. of Physics, The Graduate Center and College of Staten Island, City University of New York

  • Sarang Gopalakrishnan

    • Dept. of Physics and Astronomy, College of Staten Island, City University of New York
    • CUNY College of Staten Island
    • Physics, CUNY College of Staten Island
    • The Graduate Center, CUNY
    • Department of Physics and Astronomy, CUNY College of Staten Island
    • CUNY College of Staten Island, CUNY Graduate Center
    • Physics and Astronomy, CUNY-CSI
    • Graduate Center, CUNY, New York, NY 10016, USA; Physics and Astronomy, College of Staten Island, Staten Island, NY 10314, USA

  • Vadim Oganesyan

    • CUNY College of Staten Island
    • Dept. of Physics and Astronomy, College of Staten Island, City University of New York
    • The Graduate Center, City University of New York
    • City University of New York
    • Physics and Astronomy, CSI and GC, CUNY
    • Physics and Astronomy, CUNY-CSI

  • Christopher A Hooley

    • Univ of St Andrews
    • SUPA, School of Physics and Astronomy, University of St. Andrews