Error correcting Bacon-Shor code with continuous measurement of noncommuting operators
arXiv:1910.08272 · doi:10.1103/PhysRevA.102.022415
Abstract
We analyze the continuous operation of the nine-qubit error correcting Bacon-Shor code with all noncommuting gauge operators measured at the same time. The error syndromes are continuously monitored using cross-correlations of sets of three measurement signals. We calculate the logical error rates due to , and errors in the physical qubits and compare the continuous implementation with the discrete operation of the code. We find that both modes of operation exhibit similar performances when the measurement strength from continuous measurements is sufficiently strong. We also estimate the value of the crossover error rate of the physical qubits, below which continuous error correction gives smaller logical error rates. Continuous operation has the advantage of passive monitoring of errors and avoids the need for additional circuits involving ancilla qubits.
arXiv comment33 pages, 8 figures
References in corpus (49)
- Surface codes: Towards practical large-scale quantum computation
- Superconducting Qubits: Current State of Play
- Quantum Error Correction for Quantum Memories
- A Class of Quantum Error-Correcting Codes Saturating the Quantum Hamming Bound
- State preservation by repetitive error detection in a superconducting quantum circuit
- Fault-tolerant quantum computation with high threshold in two dimensions
- Quantum error correction in a solid-state hybrid spin register
- Realization of Three-Qubit Quantum Error Correction with Superconducting Circuits
- Experimental Quantum Error Correction
- Quantum feedback control of a superconducting qubit: Persistent Rabi oscillations
- Operator Quantum Error Correcting Subsystems for Self-Correcting Quantum Memories
- Universal control and error correction in multi-qubit spin registers in diamond
- Experimental Quantum Computations on a Topologically Encoded Qubit
- Observing single quantum trajectories of a superconducting qubit
- Continuous quantum measurement and Itô formalism
- Experimental violation of a Bell's inequality in time with weak measurement
- Stabilizer Formalism for Operator Quantum Error Correction
- Deterministic entanglement of superconducting qubits by parity measurement and feedback
- Continuous quantum measurement of a double dot
- Quantum trajectory approach to circuit QED: Quantum jumps and the Zeno effect
- Observation of measurement-induced entanglement and quantum trajectories of remote superconducting qubits
- Implementing a strand of a scalable fault-tolerant quantum computing fabric
- Quantum back-action of variable-strength measurement
- Detecting bit-flip errors in a logical qubit using stabilizer measurements
- Continuous quantum error correction via quantum feedback control
- Selective quantum evolution of a qubit state due to continuous measurement
- Subsystem fault tolerance with the Bacon-Shor code
- Demonstration of weight-four parity measurements in the surface code architecture
- Fault-tolerant quantum error detection
- Dynamics of simultaneously measured non-commuting observables
- Frequency Division Multiplexing Readout and Simultaneous Manipulation of an Array of Flux Qubits
- Quantum error correction for continuously detected errors
- A practical scheme for error control using feedback
- Multiplexed dispersive readout of superconducting phase qubits
- Reversing quantum trajectories with analog feedback
- Dynamics of a qubit while simultaneously monitoring its relaxation and dephasing
- Continuous quantum error correction by cooling
- Quantum Bayesian approach to circuit QED measurement with moderate bandwidth
- Continuous quantum error correction for non-Markovian decoherence
- Continuous quantum nondemolition measurement of the transverse component of a qubit
- Qubit state monitoring by measurement of three complementary observables
- Efficient feedback controllers for continuous-time quantum error correction
- Simultaneous continuous measurement of non-commuting observables: quantum state correlations
- Non-commuting two-local Hamiltonians for quantum error suppression
- Quantum error correction for continuously detected errors with any number of error channels per qubit
- Multi-time correlators in continuous measurement of qubit observables
- Exact signal correlators in continuous quantum measurements
- Method for quantum-jump continuous-time quantum error correction
- Bacon-Shor code with continuous measurement of non-commuting operators
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- Always-On Quantum Error Tracking with Continuous Parity Measurements
- Continuous measurements for control of superconducting quantum circuits
- Continuous quantum error detection and suppression with pairwise local interactions
- Optimal Zeno Dragging for Quantum Control: A Shortcut to Zeno with Action-based Scheduling Optimization
- Improved performance of the Bacon-Shor code with Steane's syndrome extraction method
- Continuous quantum correction on Markovian and Non-Markovian models
- Noise-Canceling Quantum Feedback: non-Hermitian Dynamics with Applications to State Preparation and Magic State Distillation