Neural-Network Decoders for Measurement Induced Phase Transitions
arXiv:2204.10904 · doi:10.1038/s41467-023-37902-1
Abstract
Open quantum systems have been shown to host a plethora of exotic dynamical phases. Measurement-induced entanglement phase transitions in monitored quantum systems are a striking example of this phenomena. However, naive realizations of such phase transitions requires an exponential number of repetitions of the experiment which is practically unfeasible on large systems. Recently, it has been proposed that these phase transitions can be probed locally via entangling reference qubits and studying their purification dynamics. In this work, we leverage modern machine learning tools to devise a neural network decoder to determine the state of the reference qubits conditioned on the measurement outcomes. We show that the entanglement phase transition manifests itself as a stark change in the learnability of the decoder function. We study the complexity and scalability of this approach and discuss how it can be utilized to detect entanglement phase transitions in generic experiments.
arXiv comment10 pages, 5 figures
References in corpus (45)
- Many body localization and thermalization in quantum statistical mechanics
- On the Measurement of Qubits
- Improved Simulation of Stabilizer Circuits
- Predicting Many Properties of a Quantum System from Very Few Measurements
- A Theory of Fault-Tolerant Quantum Computation
- Local conservation laws and the structure of the many-body localized states
- Quantum Zeno Effect and the Many-body Entanglement Transition
- Quantum data processing and error correction
- Measurement-driven entanglement transition in hybrid quantum circuits
- Ballistic spreading of entanglement in a diffusive nonintegrable system
- Area laws in a many-body localized state and its implications for topological order
- Theory of the phase transition in random unitary circuits with measurements
- Measurement-induced criticality in random quantum circuits
- Quantum Error Correction in Scrambling Dynamics and Measurement-Induced Phase Transition
- Dynamical purification phase transitions induced by quantum measurements
- Critical properties of the measurement-induced transition in random quantum circuits
- Scalable probes of measurement-induced criticality
- Observation of measurement-induced quantum phases in a trapped-ion quantum computer
- Measurement-induced topological entanglement transitions in symmetric random quantum circuits
- Statistical mechanics of quantum error correcting codes
- Measurement Protected Quantum Phases
- Measurement-induced quantum criticality under continuous monitoring
- Self-Organized Error Correction in Random Unitary Circuits with Measurement
- Measurement-induced criticality in (2+1)-d hybrid quantum circuits
- A Neural Decoder for Topological Codes
- Measurement-induced phase transition: A case study in the non-integrable model by density-matrix renormalization group calculations
- Measurement-induced dark state phase transitions in long-ranged fermion systems
- Dynamically Generated Logical Qubits
- SYK meets non-Hermiticity II: measurement-induced phase transition
- Optimizing Quantum Error Correction Codes with Reinforcement Learning
- Fate of measurement-induced phase transition in long-range interactions
- Symmetry enriched phases of quantum circuits
- Machine-learning-assisted correction of correlated qubit errors in a topological code
- Sample-efficient learning of quantum many-body systems
- Deep Neural Network Probabilistic Decoder for Stabilizer Codes
- Neural Belief-Propagation Decoders for Quantum Error-Correcting Codes
- Quantum error correction for the toric code using deep reinforcement learning
- Entanglement dynamics in hybrid quantum circuits
- Entanglement entropy scaling transition under competing monitoring protocols
- Transitions in the learnability of global charges from local measurements
- Measurement-induced criticality as a data-structure transition
- Learning the dynamics of open quantum systems from their steady states
- Simulating a measurement-induced phase transition for trapped ion circuits
- Short random circuits define good quantum error correcting codes
- Monitoring-induced Entanglement Entropy and Sampling Complexity
Cited by in corpus (27)
- Measurement-induced entanglement and teleportation on a noisy quantum processor
- Nishimori's cat: stable long-range entanglement from finite-depth unitaries and weak measurements
- Cross Entropy Benchmark for Measurement-Induced Phase Transitions
- Probing post-measurement entanglement without post-selection
- Measurement-altered Ising quantum criticality
- Triviality of quantum trajectories close to a directed percolation transition
- Many-body Dynamics in Monitored Atomic Gases Without Post-Selection Barrier
- Entanglement transitions and quantum bifurcations under continuous long-range monitoring
- Learnability transitions in monitored quantum dynamics via eavesdropper's classical shadows
- Detecting and stabilizing measurement-induced symmetry-protected topological phases in generalized cluster models
- Postselection-free learning of measurement-induced quantum dynamics
- Chaos and magic in the dissipative quantum kicked top
- Measurement-induced phase transitions in monitored infinite-range interacting systems
- The impact of different unravelings in a monitored system of free fermions
- Gapless Symmetry-Protected Topological States in Measurement-Only Circuits
- Steering-induced phase transition in measurement-only quantum circuits
- Local and nonlocal stochastic control of quantum chaos: Measurement- and control-induced criticality
- Efficient Learning for Linear Properties of Bounded-Gate Quantum Circuits
- Phase transitions induced by standard and predetermined measurements in transmon arrays
- Topology and Spectrum in Measurement-Induced Phase Transitions
- Random Quantum Circuits with Time-Reversal Symmetry
- Uncovering measurement-induced entanglement via directional adaptive dynamics and incomplete information
- Noise resilience in adaptive and symmetric monitored quantum circuits
- Detecting Measurement-Induced Entanglement Transitions With Unitary Mirror Circuits
- Artificial intelligence for representing and characterizing quantum systems
- Neural network enhanced cross entropy benchmark for monitored circuits
- Deterministic quantum trajectory via imaginary time evolution