Robustness of controlled Hamiltonian approaches to unitary quantum gates
arXiv:2304.14667 · doi:10.1103/PhysRevA.108.022423
Abstract
We examine the effectiveness and resilience of achieving quantum gates employing three approaches stemming from quantum control methods: counterdiabatic driving, Floquet engineering, and inverse engineering. We critically analyse their performance in terms of the gate infidelity, the associated resource overhead based on energetic cost, the susceptibility to time-keeping errors, and the degradation under environmental noise. Despite significant differences in the dynamical path taken, we find a broadly consistent behavior across the three approaches in terms of the efficacy of implementing the target gate and the resource overhead. Furthermore, we establish that the functional form of the control fields plays a crucial role in determining how faithfully a gate operation is achieved. Our results are demonstrated for single qubit gates, with particular focus on the Hadamard gate, and we discuss the extension to -qubit operations.
arXiv comment10 pages, 4 figures. Updated to published version
References in corpus (62)
- Quantum Computing in the NISQ era and beyond
- Elementary gates for quantum computation
- A Quantum Adiabatic Evolution Algorithm Applied to Random Instances of an NP-Complete Problem
- Measurement-based quantum computation with cluster states
- Superconducting Qubits: Current State of Play
- Trapped-Ion Quantum Computing: Progress and Challenges
- Shortcuts to adiabaticity: concepts, methods, and applications
- The role of quantum information in thermodynamics --- a topical review
- Fast optimal frictionless atom cooling in harmonic traps
- Photonic quantum information processing: a concise review
- Shortcuts to adiabaticity
- Cluster-state quantum computation
- Lewis-Riesenfeld invariants and transitionless tracking algorithm
- Resilient Quantum Computation: Error Models and Thresholds
- IBM Q Experience as a versatile experimental testbed for simulating open quantum systems
- Minimizing irreversible losses in quantum systems by local counter-diabatic driving
- Fast population transfer engineering of three-level systems
- Trade-off between speed and cost in shortcuts to adiabaticity
- Quantum technologies need a Quantum Energy Initiative
- Floquet-engineering counterdiabatic protocols in quantum many-body systems
- Tailoring quantum gases by Floquet engineering
- Universal Work Fluctuations during Shortcuts To Adiabaticity by Counterdiabatic Driving
- Unified derivations of measurement-based schemes for quantum computation
- Superadiabatic Controlled Evolutions and Universal Quantum Computation
- Thermodynamic cost of creating correlations
- Cost of counterdiabatic driving and work output
- Performance of superadiabatic quantum machines
- Spin quantum heat engines with shortcuts to adiabaticity
- Causality and non-equilibrium second-order phase transitions in inhomogeneous systems
- Optimal control theory for a unitary operation under dissipative evolution
- The experimental realization of high-fidelity `shortcut-to-adiabaticity' quantum gates in a superconducting Xmon qubit
- Quantum search by measurement
- Proposal for implementing universal superadiabatic geometric quantum gates in nitrogen-vacancy centers
- Counterdiabatic Optimised Local Driving
- Energy consumption for Shortcuts To Adiabaticity
- Universal Bound on Energy Cost of Bit Reset in Finite Time
- Energetic cost of quantum control protocols
- Measuring the thermodynamic cost of timekeeping
- Evidence of Kardar-Parisi-Zhang scaling on a digital quantum simulator
- Uncertainty relations in implementation of unitary operations
- Universal, high-fidelity quantum gates based on superadiabatic, geometric phases on a solid-state spin-qubit at room temperature
- Energetics of a Single Qubit Gate
- Reverse engineering of a Hamiltonian by designing the evolution operators
- Experimental realization of a fast controlled-Z gate via a shortcut-to-adiabaticity
- Experimental characterization of the energetics of quantum logic gates
- Generalized Shortcuts to Adiabaticity and Enhanced Robustness Against Decoherence
- Fundamental energy requirement of reversible quantum operations
- Quantum Gates with Controlled Adiabatic Evolutions
- Minimum number of input states required for quantum gate characterization
- Optimization and experimental realization of the quantum permutation algorithm
- Coherence cost for violating conservation laws
- The thermodynamic cost of quantum operations
- Universal limitations on implementing resourceful unitary evolutions
- Energy consumption for ion transport in a segmented Paul trap
- Machine-learning assisted quantum control in random environment
- Generalized transitionless quantum driving for open quantum systems
- Quantum gates by inverse engineering of a Hamiltonian
- Finite-time two-spin quantum Otto engines: shortcuts to adiabaticity vs. irreversibility
- Experimental implementation of precisely tailored light-matter interaction via inverse engineering
- Dissipative Quantum Dynamics and Optimal Control using Iterative Time Ordering: An Application to Superconducting Qubits
- Energy requirement for implementing unitary gates on energy-unbounded systems
- Robust control of linear systems and shortcut to adiabaticity based on superoscillations
Cited by in corpus (6)
- Introduction to Theoretical and Experimental aspects of Quantum Optimal Control
- Efficiency Optimization in Quantum Computing: Balancing Thermodynamics and Computational Performance
- Taming quantum systems: A tutorial for using shortcuts-to-adiabaticity, quantum optimal control, and reinforcement learning
- Speeding up Quantum Annealing with Engineered Dephasing
- Correcting noisy quantum gates with shortcuts to adiabaticity
- An automated geometric space curve approach for designing dynamically corrected gates