Decoherence scaling transition in the dynamics of quantum information scrambling

Abstract

Reliable processing of quantum information for developing quantum technologies requires precise control of out-of-equilibrium many-bodysystems. This is a highly challenging task as the fragility of quantum states to external perturbations increases with the system-size. Here, we report on a series of experimental quantum simulations that quantify the sensitivity of a controlled Hamiltonian evolution to perturbations that drive the system away from the targeted evolution. Based on out-of-time ordered correlations, we demonstrate that the decay-rate of the process fidelity increases with the effective number $K$ of correlated qubits as $K^{\alpha }$. As a function of the perturbation strength, we observe a decoherence scaling transition of the exponent $\alpha$ between two distinct dynamical regimes. In the limiting case below the critical perturbation strength, the exponent $\alpha$ drops sharply below 1, and there is no inherent limit to the number of qubits that can be controlled. This resilient quantum feature of the controlled dynamics of quantum information is promising for reliable control of large quantum systems.

5 pages, 3 figures, material and methods

References in corpus (6)

• Probing many-body dynamics on a 51-atom quantum simulator
• Decoherence-protected quantum gates for a hybrid solid-state spin register
• Decoherence, Entanglement and Irreversibility in Quantum Dynamical Systems with Few Degrees of Freedom
• Relating out-of-time-order correlations to entanglement via multiple-quantum coherences
• NMR quantum simulation of localization effects induced by decoherence
• Experimental protection of quantum gates against decoherence and control errors

Cited by in corpus (14)

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• Scrambling Transition in a Radiative Random Unitary Circuit
• Dynamical Transition of Operator Size Growth in Quantum Systems Embedded in an Environment
• Dynamics of quantum information scrambling under decoherence effects measured via active spins clusters
• Emergent decoherence induced by quantum chaos in a many-body system: A Loschmidt echo observation through NMR
• Quantum information scrambling in non-Markovian open quantum systems
• Pointer states and quantum Darwinism with 2-body interactions
• Path integral framework for characterizing and controlling decoherence induced by non-stationary environments on a quantum probe
• Operator size growth in Lindbladian SYK
• Error-resilient Reversal of Quantum Chaotic Dynamics Enabled by Scramblons
• Dilution of error in digital Hamiltonian simulation
• Sensing Out-of-Equilibrium and Quantum Non-Gaussian environments via induced Time-Reversal Symmetry Breaking on the quantum-probe dynamics
• Global Out of Time Order Correlators as a Signature of Scrambling Dynamics of Local Observables
• Markovian to non-Markovian phase transition in the operator dynamics of a mobile impurity