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.

References in corpus (5)

• Making Sense of Non-Hermitian Hamiltonians
• Observation of parity-time symmetry breaking in a single spin system
• Increase of entanglement by local PT -symmetric operations
• Partial measurements and the realization of quantum-mechanical counterfactuals
• Non-Local Parity Measurements and the Quantum Pigeonhole Effect

Cited by in corpus (35)

• Zoology of non-Hermitian spectra and their graph topology
• Exceptional entanglement phenomena: non-Hermiticity meeting non-classicality
• Engineering dissipation with resistive elements in circuit quantum electrodynamics
• $\mathcal{P}\mathcal{T}$-symmetric, non-Hermitian quantum many-body physics -- a methodological perspective
• 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
• Parametrically driving a quantum oscillator into exceptionality
• PT-symmetric quantum Rabi model
• Simulating open quantum dynamics on an NMR quantum processor using the Sz.-Nagy dilation algorithm
• 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
• Quantum phase transitions in non-Hermitian $\mathcal{P}\mathcal{T}$-symmetric transverse-field Ising spin chains
• Formation of Exceptional Points in pseudo-Hermitian Systems
• Dynamical localization transition in the non-Hermitian lattice gauge theory
• A spin chain with non-Hermitian $\mathcal{PT}-$symmetric boundary couplings: exact solution, dissipative Kondo effect, and phase transitions on the edge
• Unbalanced gain and loss in a quantum photonic system
• Practical quantum simulation of small-scale non-Hermitian dynamics
• Quantum circuit for measuring an operator's generalized expectation values and its applications to non-Hermitian winding numbers
• Linear Response for pseudo-Hermitian Hamiltonian Systems: Application to PT-Symmetric Qubits
• Three perspectives on entropy dynamics in a non-Hermitian two-state system
• Nonadiabatic transitions in non-Hermitian $\mathcal{P}\mathcal{T}$-symmetric two-level systems
• Topological state permutations in time-modulated non-Hermitian multiqubit systems with suppressed non-adiabatic transitions
• Schrieffer-Wolff transformation for non-Hermitian systems: application for $\mathcal{P}\mathcal{T}$-symmetric circuit QED
• $\mathcal{P}\mathcal{T}$-symmetric mapping of three states and its implementation on a cloud quantum processor
• Dual opposing quadrature-PT symmetry
• $\mathcal{P}\mathcal{T}$-Symmetric Quantum Discrimination of Three States
• Direct measurement of the quantum geometric tensor in pseudo-Hermitian systems
• Third-order exceptional surface in a pseudo-Hermitian superconducting circuit
• Robustness of tripartite entangled states in passive PT-symmetric qubits
• Quantum Simulation of Two-Level $PT$-Symmetric Systems Using Hermitian Hamiltonians
• Three-qubit W state tomography via full and marginal state reconstructions on ibm_osaka
• Topological enhancement of a PT-symmetric Su-Schrieffer-Heeger quantum battery
• $\mathcal{P}\mathcal{T}$-Symmetric Spin--Boson Model with a Continuous Bosonic Spectrum: Exceptional Points and Dynamics