Fidelity of Single Qubit Maps
arXiv:quant-ph/0201106 · doi:10.1016/S0375-9601(02)00069-5
Abstract
We describe a simple way of characterizing the average fidelity between a unitary (or anti-unitary) operator and a general operation on a single qubit, which only involves calculating the fidelities for a few pure input states, and discuss possible applications to experimental techniques including Nuclear Magnetic Resonance (NMR).
5 pages RevTex4, no figures. Physics Letters A in press. Supersedes quant-ph/0103090 and quant-ph/0103060
References in corpus (4)
Cited by in corpus (121)
- NMR Techniques for Quantum Control and Computation
- Simple pulses for elimination of leakage in weakly nonlinear qubits
- A simple formula for the average gate fidelity of a quantum dynamical operation
- Distance measures to compare real and ideal quantum processes
- Scalable Noise Estimation with Random Unitary Operators
- A Single-Atom Quantum Memory
- Ancilla-assisted quantum process tomography
- Fidelity of quantum operations
- Analytic control methods for high fidelity unitary operations in a weakly nonlinear oscillator
- Experimental fault-tolerant universal quantum gates with solid-state spins under ambient conditions
- A Photon-Photon Quantum Gate Based on Rydberg Interactions
- Average fidelity between random quantum states
- Theory of fast optical spin rotation in a quantum dot based on geometric phases and trapped states
- Noise-resistant control for a spin qubit array
- Randomized benchmarking with gate-dependent noise
- Demonstration of a Parametrically-Activated Entangling Gate Protected from Flux Noise
- A Generic Security Proof for Quantum Key Distribution
- Teleporting a rotation on remote photons
- Universal fidelity reduction of quantum operations from weak dissipation
- Experimental implementation of high-fidelity unconventional geometric quantum gates using NMR interferometer
- Effect of noise on geometric logic gates for quantum computation
- Fast three-qubit Toffoli quantum gate based on the three-body Förster resonances in Rydberg atoms
- High-Fidelity Single-Qubit Gates for Two-Electron Spin Qubits in GaAs
- Bose-Einstein condensate as a quantum memory for a photonic polarization qubit
- Geometric formalism for constructing arbitrary single-qubit dynamically corrected gates
- Robustness of quantum memories based on Majorana zero modes
- Quantum teleportation with atoms: quantum process tomography
- Energy-Efficient Quantum Computing
- Scalable Hardware-Efficient Qubit Control with Single Flux Quantum Pulse Sequences
- Practical experimental certification of computational quantum gates via twirling
- Sensitivity of quantum gate fidelity to laser phase and intensity noise
- No-go theorems for quantum resource purification II: new approach and channel theory
- Randomized benchmarking of barrier versus tilt control of a singlet-triplet qubit
- Dissipative and Non-dissipative Single-Qubit Channels: Dynamics and Geometry
- Protected quantum-state transfer in decoherence-free subspaces
- High-fidelity geometric gate for silicon-based spin qubits
- High-fidelity state detection and tomography of a single ion Zeeman qubit
- Geometric phases in open tripod systems
- Dynamically corrected gates for an exchange-only qubit
- Exchange-controlled single-electron-spin rotations in quantum dots
- Efficient Simulation of Random Quantum States and Operators
- Scalable and High-Fidelity Quantum Random Access Memory in Spin-Photon Networks
- State transfer in dissipative and dephasing environments
- General solution to inhomogeneous dephasing and smooth pulse dynamical decoupling
- Realization of Universal Optimal Quantum Machines by Projective Operators and Stochastic Maps
- Experimental quantum channel simulation
- Quantum optimal control using phase-modulated driving fields
- Analytic Design of Accelerated Adiabatic Gates in Realistic Qubits: General Theory and Applications to Superconducting Circuits
- Single-qubit gates with errors at the level
- Remote Implementation of Quantum Operations
- Quantum information processing with closely-spaced diamond color centers in strain and magnetic fields
- Single-bit Feedback and Quantum Dynamical Decoupling
- Characterization of Unruh Channel in the context of Open Quantum Systems
- Average Fidelity in n-Qubit systems
- Pseudo-2D superconducting quantum computing circuit for the surface code: the proposal and preliminary tests
- Entangled state teleportation through a couple of quantum channels composed of XXZ dimers in an Ising-XXZ diamond chain
- Robustness against parametric noise of non ideal holonomic gates
- Robust Two-Qubit Gates for Exchange-Coupled Qubits
- Minimal measurements of the gate fidelity of a qudit map
- Cubic phase gates are not suitable for non-Clifford operations on GKP states
- Noise-compensating pulses for electrostatically controlled silicon spin qubits
- Protecting Quantum Information via Destructive Interference of Correlated Noise
- The distribution of quantum fidelities
- Noise filtering of composite pulses for singlet-triplet qubits
- Accelerated adiabatic quantum gates: optimizing speed versus robustness
- Quantum Control of Spin Qubits Using Nanomagnets
- Procedures for realizing an approximate universal NOT gate
- Quantum Gate Fidelity in Terms of Choi Matrices
- Transfer of a quantum state from a photonic qubit to a gate-defined quantum dot
- Fast control of semiconductor qubits beyond the rotating-wave approximation
- Simple quantum error detection and correction for superconducting qubits
- Quantum computer-aided design: digital quantum simulation of quantum processors
- Modeling low- and high-frequency noise in transmon qubits with resource-efficient measurement
- Quantum Reference Frames and the Classification of Rotationally-Invariant Maps
- Gauge invariant information concerning quantum channels
- Avoiding leakage and errors caused by unwanted transitions in Lambda systems
- Experimental Implementation of the Universal Transpose Operation
- Speeding up qubit control with bipolar single-flux-quantum pulse sequences
- Thermal quantum correlations and Teleportation in a Graphene Sheet
- Robust Charge-based Qubit Encoding
- Controlling NMR spin systems for quantum computation
- Controlled phase gate for solid-state charge qubits
- Norms and Cones in the Theory of Quantum Entanglement
- Comparing the quantum switch and its simulations with energetically-constrained operations
- Optimized quantum state transfer through an XY spin chain
- Limits to Quantum Gate Fidelity from Near-Field Thermal and Vacuum Fluctuations
- Teleportation between distant qudits via scattering of mobile qubits
- On the Quantum Performance Evaluation of Two Distributed Quantum Architectures
- Optical rotation of heavy hole spins by non-Abelian geometrical means
- Analysis of loss correction with the Gottesman-Kitaev-Preskill code
- Optimized continuous dynamical decoupling via differential geometry and machine learning
- Toffoli gate based on a three-body fine-structure-state-changing Förster resonance in Rydberg atoms
- Exploring Quantum Average-Case Distances: proofs, properties, and examples
- Comparing randomized benchmarking figure with average infidelity of quantum gate-set
- Designing arbitrary single-axis rotations robust against perpendicular time-dependent noise
- Phonon-induced decoherence of a charge quadrupole qubit
- Qubit Coherent Control with Squeezed Light Fields
- Single qubit gates by selective excitation with Jump and Return sequences
- Rescaling interactions for quantum control
- Optimal transfer of an unknown state via a bipartite operation
- Regularized maximum pure-state input-output fidelity of a quantum channel
- On-chip polarization-encoded single-qubit gates with twisted waveguides
- Long-range gates via radio-frequency-induced Förster resonances
- Implementation of single-qubit gates via parametric modulation in the Majorana transmon
- Saturable Purcell filter for circuit quantum electrodynamics
- Manipulation of the dynamics of many-body systems via quantum control methods
- Single-Qubit Gates Beyond the Rotating-Wave Approximation for Strongly Anharmonic Low-Frequency Qubits
- Augmented fidelities for single qubit gates
- Effect of Ohmic environment on optimally controlled flux-biased phase qubit
- Non-Markovianity and memory of the initial state
- Nonadiabatic geometric rotation of electron spin in a quantum dot by 2Pi hyperbolic secant pulses
- Operation fidelity explored by numerical range of Kraus operators
- Logical channel for heralded and pure loss with the Gottesman-Kitaev-Preskill code
- Quantum qubit switch: entropy and entanglement
- The effect of component variations on the gate fidelity in linear optical networks
- Accurate Qubit Control with Single Flux Quantum Pulses
- O(1) benchmarking of precise rotation in a spin-squeezed Bose-Einstein condensate
- Designing gate operations for single ion quantum computing in rare-earth-ion-doped crystals
- The Entanglement Level and the Detection of Quantum Data Transfer Correctness in Short Qutrit Spin Chains
- Room temperature caesium quantum memory for quantum information applications
- Proposal for erasure conversion in integer fluxonium qubits