Topological quantum state control through exceptional-point proximity

Abstract

We study the quantum evolution of a non-Hermitian qubit realized as a submanifold of a dissipative superconducting transmon circuit. Real-time tuning of the system parameters to encircle an exceptional point results in non-reciprocal quantum state transfer. We further observe chiral geometric phases accumulated under state transport, verifying the quantum coherent nature of the evolution in the complex energy landscape and distinguishing between coherent and incoherent effects associated with exceptional point encircling. Our work demonstrates an entirely new method for control over quantum state vectors, highlighting new facets of quantum bath engineering enabled through dynamical non-Hermitian control.

9 pages, 8 figures

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Cited by in corpus (41)

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• Speeding up entanglement generation by proximity to higher-order exceptional points
• Accelerating relaxation through Liouvillian exceptional point
• Quantum Simulation of the Bosonic Kitaev Chain
• Topological Microlaser with A non-Hermitian Topological Bulk
• Chiral Bell-state transfer via dissipative Liouvillian dynamics
• Enhanced eigenvector sensitivity and algebraic classification of sublattice-symmetric exceptional points
• Topological phase diagrams of exactly solvable non-Hermitian interacting Kitaev chains
• Pontryagin-Optimal Control of a non-Hermitian Qubit
• Universal subdiffusive behavior at band edges from transfer matrix exceptional points
• Photonic chiral state transfer near the Liouvillian exceptional point
• Quantum Dynamics with Stochastic Non-Hermitian Hamiltonians
• Parametrically driving a quantum oscillator into exceptionality
• Chiral quantum heating and cooling with an optically controlled ion
• Symmetric non-Hermitian skin effect with emergent nonlocal correspondence
• Exceptional-point-assisted entanglement, squeezing, and reset in a chain of three superconducting resonators
• Observing Parity Time Symmetry Breaking in a Josephson Parametric Amplifier
• Constraining work fluctuations of non-Hermitian dynamics across the exceptional point of a superconducting qubit
• Unbalanced gain and loss in a quantum photonic system
• Linear Response for pseudo-Hermitian Hamiltonian Systems: Application to PT-Symmetric Qubits
• Transfer learning from Hermitian to non-Hermitian quantum many-body physics
• Enhancement of vibrationally assisted energy transfer by proximity to exceptional points, probed by fluorescence-detected vibrational spectroscopy
• Topological eigenvalues braiding and quantum state transfer near a third-order exceptional point
• Recognizing critical lines via entanglement in non-Hermitian systems
• Emergent Liouvillian exceptional points from exact principles
• Stability of time-periodic $\mathcal{P}\mathcal{T}$ and anti-$\mathcal{P}\mathcal{T}$-symmetric Hamiltonians with different periodicities
• Recent advances in the combination of nonlinearity and exceptional points
• Robustness of entanglement in a non-Hermitian cavity-optomechanical system even away from exceptional points
• Topological state permutations in time-modulated non-Hermitian multiqubit systems with suppressed non-adiabatic transitions
• $\mathcal{P}\mathcal{T}$-symmetric mapping of three states and its implementation on a cloud quantum processor
• Limits of the non-Hermitian description of decay models
• High-fidelity multipartite entanglement creation in non-Hermitian qubits
• Exploring the topology of a non-Hermitian superconducting qubit using shortcuts to adiabaticity
• Noise-Canceling Quantum Feedback: non-Hermitian Dynamics with Applications to State Preparation and Magic State Distillation
• Quantum Simulation of Two-Level $PT$-Symmetric Systems Using Hermitian Hamiltonians
• Localization with non-Hermitian off-diagonal disorder
• Non-Hermitian topology in a single driven-dissipative Kerr-Cat qubit
• Physical relevance of time-independent scattering calculations in non-Hermitian systems: The role of time-growing bound states
• Exceptional point in self-consistent Markovian master equations