Simple pulses for elimination of leakage in weakly nonlinear qubits
arXiv:0901.0534 · doi:10.1103/PhysRevLett.103.110501
Abstract
In realizations of quantum computing, a two-level system (qubit) is often singled out of the many levels of an anharmonic oscillator. In these cases, simple qubit control fails on short time scales because of coupling to leakage levels. We provide an easy to implement analytic formula that inhibits this leakage from any single-control analog or pixelated pulse. It is based on adding a second control that is proportional to the time-derivative of the first. For realistic parameters of superconducting qubits, this strategy reduces the error by an order of magnitude relative to the state of the art, all based on smooth and feasible pulse shapes. These results show that even weak anharmonicity is sufficient and in general not a limiting factor for implementing quantum gates.
4 pages, 4 figures
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- Quantum Shortcut to Adiabaticity for State Preparation in a Finite-Sized Jaynes-Cummings Lattice
- Quantum Software Ecosystem Design
- Dynamics of observables and exactly solvable quantum problems: Using time-dependent density functional theory to control quantum systems
- Characteristics, Implementation and Applications of Special Perfect Entangler Circuits
- Error metric for non-trace-preserving quantum operations
- A practical guide for building superconducting quantum devices
- Parameter optimization for the unimon qubit
- Fast spin-valley-based quantum gates in Si with micromagnets
- Selective Excitation of Superconducting Qubits with a Shared Control Line through Pulse Shaping
- Spectrum analysis with parametrically modulated transmon qubits
- Controlled-NOT logic gate for phase qubits based on conditional spectroscopy
- Practical quantum error correction with the XZZX code and Kerr-cat qubits
- Gate-Based Initialization and Fidelity in Correlated Open Quantum Systems
- Decoherence-free propagation and ramification of a solitary pulse
- Mitigating Measurement Crosstalk via Pulse Shaping
- Simulating a Topological Transition in a Superconducting Phase Qubit by Fast Adiabatic Trajectories
- Ultrastrong Coupling of a Qubit with a Nonlinear Optical Resonator
- Accurate Leakage Speculation for Quantum Error Correction
- Pareto-optimality of pulses for robust population transfer in a ladder-type qutrit
- Accurate Qubit Control with Single Flux Quantum Pulses
- Violation of no-signaling on a public quantum computer
- Sparse Non-Markovian Noise Modeling of Transmon-Based Multi-Qubit Operations
- Binary Quantum Control Optimization with Uncertain Hamiltonians
- Microwave-activated high-fidelity three-qubit gate scheme for fixed-frequency superconducting qubits
- Refuting a Proposed Axiom for Defining the Exact Rotating Wave Approximation
- Pulse-controlled quantum gate sequences on a strongly coupled qubit chain
- Characterization of multi-level dynamics and decoherence in a high-anharmonicity capacitively shunted flux circuit
- Achieving fast and robust perfect entangling gates via reinforcement learning
- Generation of time-frequency entangled photon pairs propagating in separate waveguides in circuit QED setup
- Time-optimal single-scalar control on a qubit of unitary dynamics
- Protected phase gate for the - qubit using its internal modes
- Quantum Optimal Control via Magnus Expansion and Non-Commutative Polynomial Optimization
- Engineering Precise and Robust Effective Hamiltonians
- Robustness Enhancement of Universal Noncyclic Geometric Gates via Evolution Optimization
- Proposal for erasure conversion in integer fluxonium qubits
- Quasiparticle-induced decoherence of a driven superconducting qubit
- Purity benchmarking study of error coherence in a single Xmon qubit
- Circuit QED: Implementation of the three-qubit refined Deutsch-Jozsa quantum algorithm
- Robust multi-mode superconducting circuit optimized for quantum information processing
- Quantum Process Tomography with Digital Twins of Error Matrices
- Effective non-local parity-dependent couplings in qubit chains
- Quantum Computation
- Simulated Randomized Benchmarking of a Dynamically Corrected Cross-Resonance Gate
- Incoherent Approximation of Leakage in Quantum Error Correction
- Robust shaped pulses for arrays of superconducting or semiconductor spin qubits with fixed Ising coupling
- Iterative Linear Quadratic Regulator for Quantum Optimal Control
- Passive leakage removal unit based on a disordered transmon array
- Geometric and holonomic quantum computation
- Globally optimal control of quantum dynamics
- Time-frequency-correlated Native CCZ Gate in Superconducting Circuits
- A Time Optimization Framework for the Implementation of Robust and Low-latency Quantum Circuits
- Device-independent dimension leakage null test on qubits at low operational cost
- Fast magnetic field manipulations and nonadiabatic geometric phases of nitrogen-vacancy center spin in diamond
- Approximate quantum gates compiling with self-navigation algorithm
- Designing gate operations for single ion quantum computing in rare-earth-ion-doped crystals
- Measurement-and Feedback-Driven Non-Equilibrium Phase Transitions on a Quantum Processor
- Measuring and correcting nanosecond pulse distortions in quantum-dot spin qubits