Disordered purification phase transition in hybrid random circuits

Abstract

Noise is inevitable in realistic quantum circuits. It arises randomly in space. Inspired by spatial non-uniformity of the noise, we investigate the effects of spatial modulation on purification phase transitions in a hybrid random Clifford circuit. As an efficient observable for extracting quantum entanglement in mixed states, we employ many-body negativity. The behavior of the many-body negativity well characterizes the presence of the purification phase transitions and its criticality. We find the effect of spatial non-uniformity in measurement probability on purification phase transition. The criticality of the purification phase transition changes from that of uniform probability, which is elucidated from the argument of the Harris criterion. The critical correlation length exponent $\nu$ changes from $\nu <2$ for uniform probability to $\nu >2$ for spatially modulated probability. We further investigate a setting where two-site random Clifford gate becomes spatially (quasi-)modulated. We find that the modulation induces a phase transition, leading to a different pure phase where a short-range quantum entanglement remains.

10 pages, 8 figures

References in corpus (27)

• Quantum entanglement
• The logarithmic negativity: A full entanglement monotone that is not convex
• Improved Simulation of Stabilizer Circuits
• Measurement-Induced Phase Transitions in the Dynamics of Entanglement
• Measurement-driven entanglement transition in hybrid quantum circuits
• Theory of the phase transition in random unitary circuits with measurements
• Random Quantum Circuits
• Dynamical purification phase transitions induced by quantum measurements
• Critical properties of the measurement-induced transition in random quantum circuits
• Statistical mechanics of quantum error correcting codes
• Conformal invariance and quantum non-locality in critical hybrid circuits
• Symmetry enriched phases of quantum circuits
• Entanglement Negativity at Measurement-Induced Criticality
• Detecting Topological Order at Finite Temperature Using Entanglement Negativity
• Measurement-Induced Power-Law Negativity in an Open Monitored Quantum Circuit
• How to efficiently select an arbitrary Clifford group element
• Localization and symmetry breaking in the quantum quasiperiodic Ising glass
• Channeling quantum criticality
• Transport and entanglement growth in long-range random Clifford circuits
• Finite-time teleportation phase transition in random quantum circuits
• Infinite-randomness criticality in monitored quantum dynamics with static disorder
• System-environment entanglement phase transitions
• Measurement induced criticality in quasiperiodic modulated random hybrid circuits
• Efficient Detection of Strong-To-Weak Spontaneous Symmetry Breaking via the Rényi-1 Correlator
• Phase transition and evidence of fast-scrambling phase in measurement-only quantum circuit
• Measurement-induced phase transitions in systems with diffusive dynamics
• Validity of Harris criterion for two-dimensional quantum spin systems with quenched disorder