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Measuring complex-partition-function zeros of Ising models in quantum simulators

MPS-Authors
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Schmitt,  Markus
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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Moessner,  Roderich
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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Heyl,  Markus
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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1902.07155.pdf
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Citation

Krishnan, A., Schmitt, M., Moessner, R., & Heyl, M. (2019). Measuring complex-partition-function zeros of Ising models in quantum simulators. Physical Review A, 100(2): 022125. doi:10.1103/PhysRevA.100.022125.


Cite as: https://hdl.handle.net/21.11116/0000-0005-17E2-2
Abstract
Studying the zeros of partition functions in the space of complex control parameters allows one to understand formally how critical behavior of a many-body system can arise in the thermodynamic limit despite various no-go theorems for finite systems. In this work we propose protocols that can be realized in quantum simulators to measure the location of complex-partition-function zeros of classical Ising models. The protocols are solely based on the implementation of simple two-qubit gates, local spin rotations, and projective measurements along two orthogonal quantization axes. Besides presenting numerical simulations of the measurement outcomes for an exemplary classical model, we discuss the effect of projection noise and the feasibility of the implementation on state of the art platforms for quantum simulation.