Quantum simulation of parity-time symmetry breaking with a superconducting quantum processor

Abstract

The observation of genuine quantum effects in systems governed by non-Hermitian Hamiltonians has been an outstanding challenge in the field. Here we simulate the evolution under such Hamiltonians in the quantum regime on a superconducting quantum processor by using a dilation procedure involving an ancillary qubit. We observe the parity-time ($\mathcal{P}\mathcal{T}$)-symmetry breaking phase transition at the exceptional points, obtain the critical exponent, and show that this transition is associated with a loss of state distinguishability. In a two-qubit setting, we show that the entanglement can be modified by local operations.

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• A variational quantum algorithm for the Feynman-Kac formula
• Symmetry-protected exceptional and nodal points in non-Hermitian systems
• Demonstration of a parity-time symmetry breaking phase transition using superconducting and trapped-ion qutrits
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• PT-symmetric quantum Rabi model
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• Gain-Loss Coupled Systems
• Searching for exceptional points and inspecting non-contractivity of trace distance in (anti-)$\mathcal{P}\mathcal{T}-$symmetric systems
• Deterministic one-way logic gates on a cloud quantum computer
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