Maximum velocity quantum circuits
arXiv:2003.01133 · doi:10.1103/PhysRevResearch.2.033032
Abstract
We consider the long-time limit of out-of-time-order correlators (OTOCs) in two classes of quantum lattice models with time evolution governed by local unitary quantum circuits and maximal butterfly velocity . Using a transfer matrix approach, we present analytic results for the long-time value of the OTOC on and inside the light cone. First, we consider `dual-unitary' circuits with various levels of ergodicity, including the integrable and non-integrable kicked Ising model, where we show exponential decay away from the light cone and relate both the decay rate and the long-time value to those of the correlation functions. Second, we consider a class of kicked XY models similar to the integrable kicked Ising model, again satisfying , highlighting that maximal butterfly velocity is not exclusive to dual-unitary circuits.
References in corpus (6)
- Supplementary information for "Quantum supremacy using a programmable superconducting processor"
- Exact dynamics in dual-unitary quantum circuits
- Microscopic model of quantum butterfly effect: out-of-time-order correlators and traveling combustion waves
- Nearly-linear light cones in long-range interacting quantum systems
- Lieb-Robinson Bounds for Harmonic and Anharmonic Lattice Systems
- Operator Entanglement in Local Quantum Circuits I: Chaotic Dual-Unitary Circuits
Cited by in corpus (91)
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- Chaos and Ergodicity in Extended Quantum Systems with Noisy Driving
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- Magic Resources of the Heisenberg Picture
- Krylov complexity and Trotter transitions in unitary circuit dynamics
- Quantum information spreading in generalised dual-unitary circuits
- Ternary unitary quantum lattice models and circuits in dimensions
- Operator front broadening in chaotic and integrable quantum chains
- Quantum Many-Body Scars in Dual-Unitary Circuits
- Thermalisation Dynamics and Spectral Statistics of Extended Systems with Thermalising Boundaries
- The entanglement membrane in exactly solvable lattice models
- Fock-space delocalization and the emergence of the Porter-Thomas distribution from dual-unitary dynamics
- Zero-temperature entanglement membranes in quantum circuits
- From dual-unitary to biunitary: a 2-categorical model for exactly-solvable many-body quantum dynamics
- Dynamical simulations of many-body quantum chaos on a quantum computer
- Topological Defects in Floquet Circuits
- Exactly solvable many-body dynamics from space-time duality
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- Exact pre-transition effects in kinetically constrained circuits: dynamical fluctuations in the Floquet-East model
- Operator dynamics in Floquet many-body systems
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- Free Independence and the Noncrossing Partition Lattice in Dual-Unitary Quantum Circuits
- Eigenstate Correlations in Dual-Unitary Quantum Circuits: Partial Spectral Form Factor
- Temporal Entanglement Barriers in Dual-Unitary Clifford Circuits with Measurements
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- Out-of-Time Ordered Correlators in Kicked Coupled Tops: Information Scrambling in Mixed Phase Space and the Role of Conserved Quantities
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- Efficient post-selection in light-cone correlations of monitored quantum circuits
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