Quantum scrambling with classical shadows
Roy J. Garcia, You Zhou, Arthur Jaffe
Abstract
Quantum dynamics is of fundamental interest and has implications in quantum information processing. The four-point out-of-time-ordered correlator (OTOC) is traditionally used to quantify quantum information scrambling under many-body dynamics. Due to the OTOC's unusual time ordering, its measurement is challenging. We propose higher-point OTOCs to reveal early-time scrambling behavior, and present protocols to measure any higher-point OTOC using the shadow estimation method. The protocols circumvent the need for time-reversal evolution and ancillary control. They can be implemented in near-term quantum devices with single-qubit readout.
Topics & Concepts
ScramblingQuantumMeasure (data warehouse)Quantum informationPhysicsComputer scienceQuantum error correctionStatistical physicsQuantum algorithmQuantum stateQuantum channelQuantum discordQuantum processQuantum operationQuantum mechanicsAlgorithmQuantum sensorQuantum capacityQuantum chaosAmplitude damping channelOpen quantum systemQuantum technologyQuantum systemQuantum computerShadow (psychology)Quantum key distributionQuantum metrologyQuantum imagingQuantum entanglementTheoretical computer scienceQuantum networkQuantum phase estimation algorithmQuantum dynamicsQuantum cryptographyQuantum Information and CryptographyQuantum Computing Algorithms and ArchitectureQuantum many-body systems