Temporally correlated quantum noise in driven quantum systems
arXiv:2410.18748 · doi:10.1103/PhysRevResearch.7.023073
Abstract
The ubiquitous effects of the environment on quantum-mechanical systems generally cause temporally correlated fluctuations. This particularly holds for systems of interest for quantum computation where such effects lead to correlated errors. The Markovian approximation neglects these correlations and thus fails to accurately describe open-system dynamics where these correlations become relevant. In driven open systems, yet another approximation is persistently used, often unknowingly, in which one describes the decay effects independently from the time-dependent controlling fields acting on the system, thereby ignoring further temporally correlated effects. To overcome these shortcomings, we develop a quantum master equation for driven systems weakly coupled to quantum environments that avoids the aforementioned field-independent approximation, as well as the Markovian approximation. Our method makes it possible to track all occurring decay channels and their time-dependent generalized rates which we illustrate in the example of a generally driven two-level system. We also demonstrate that correlated and field-dependent dissipative effects can lead to an increase in the performance of single-qubit gate operations.
18 pages, 3 figures
References in corpus (61)
- Decoherence, einselection, and the quantum origins of the classical
- Quantum sensing
- Charge insensitive qubit design derived from the Cooper pair box
- A Quantum Engineer's Guide to Superconducting Qubits
- Advances in Quantum Cryptography
- NMR Techniques for Quantum Control and Computation
- The Magnus expansion and some of its applications
- Quantum Non-Markovianity: Characterization, Quantification and Detection
- Quantum information processing with superconducting circuits: a review
- Simple pulses for elimination of leakage in weakly nonlinear qubits
- Semiconductor Spin Qubits
- A simple formula for the average gate fidelity of a quantum dynamical operation
- Decoherence in a superconducting quantum bit circuit
- Keldysh Field Theory for Driven Open Quantum Systems
- Efficient Z-Gates for Quantum Computing
- Towards understanding two-level-systems in amorphous solids -- Insights from quantum circuits
- Bloch vectors for qudits
- Canonical form of master equations and characterization of non-Markovianity
- Overhead and noise threshold of fault-tolerant quantum error correction
- Fidelity of quantum operations
- Quantum Adiabatic Markovian Master Equations
- Analytic control methods for high fidelity unitary operations in a weakly nonlinear oscillator
- Realization of high-fidelity CZ and ZZ-free iSWAP gates with a tunable coupler
- Correlated Charge Noise and Relaxation Errors in Superconducting Qubits
- Correlating decoherence in transmon qubits: Low frequency noise by single fluctuators
- Resolving catastrophic error bursts from cosmic rays in large arrays of superconducting qubits
- Quantification and Characterization of Leakage Errors
- Leakage reduction in fast superconducting qubit gates via optimal control
- Quasiparticle relaxation of superconducting qubits in the presence of flux
- Interacting two-level defects as sources of fluctuating high-frequency noise in superconducting circuits
- Accuracy Assessment of Perturbative Master Equations -- Embracing Non-Positivity
- Dynamical description of quantum computing: generic nonlocality of quantum noise
- Time Dependent Markovian Quantum Master Equation
- Staying positive: going beyond Lindblad with perturbative master equations
- Decoherence of superconducting qubits caused by quasiparticle tunneling
- Open Quantum System Dynamics: recovering positivity of the Redfield equation via Partial-Secular Approximation
- Eternal non-Markovianity: from random unitary to Markov chain realisations
- Coarse-Graining Can Beat the Rotating Wave Approximation in Quantum Markovian Master Equations
- Benchmarking the noise sensitivity of different parametric two-qubit gates in a single superconducting quantum computing platform
- Non-Markovian qubit dynamics in the presence of 1/f noise
- Universal fidelity reduction of quantum operations from weak dissipation
- Role of Single Qubit Decoherence Time in Adiabatic Quantum Computation
- Markovian Quantum Master Equation beyond Adiabatic Regime
- Reducing leakage of single-qubit gates for superconducting quantum processors using analytical control pulse envelopes
- Adding dynamical generators in quantum master equations
- Completely Positive, Simple, and Possibly Highly Accurate Approximation of the Redfield Equation
- Optimal strategy for a single-qubit gate and trade-off between opposite types of decoherence
- Dynamic Kibble-Zurek scaling framework for open dissipative many-body systems crossing quantum transitions
- Extensive characterization of a family of efficient three-qubit gates at the coherence limit
- Simple master equations for describing driven systems subject to classical non-Markovian noise
- Smoking-gun signatures of non-Markovianity of a superconducting qubit
- Decoherence of a Driven Qubit
- A novel approach to noisy gates for simulating quantum computers
- State leakage during fast decay and control of a superconducting transmon qubit
- Validity of Born-Markov master equations for single and two-qubit systems
- Modeling low- and high-frequency noise in transmon qubits with resource-efficient measurement
- All-microwave holonomic control of an electron-nuclear two-qubit register in diamond
- Bridging between Lab and Rotating Frame Master Equations for Open Quantum Systems
- Qubit Dynamics beyond Lindblad: Non-Markovianity versus Rotating Wave Approximation
- Gate Operations for Superconducting Qubits and Non-Markovianity
- Limitations to Dynamical Error Suppression and Gate-Error Virtualization from Temporally Correlated Nonclassical Noise
Cited by in corpus (4)
- Revealing correlated noise with single-qubit operations
- Entanglement dynamics and performance of two-qubit gates for superconducting qubits under non-Markovian effects
- Universal dissipators for driven open quantum systems and the correction to linear response
- Higher order Magnus expansions for driven two-level quantum dynamics