Proposal for implementing universal superadiabatic geometric quantum gates in nitrogen-vacancy centers
arXiv:1604.07914 · doi:10.1103/PhysRevA.93.040305
Abstract
We propose a feasible scheme to implement a universal set of quantum gates based on geometric phases and superadiabatic quantum control. Consolidating the advantages of both strategies, the proposed quantum gates are robust and fast. The diamond nitrogen-vacancy center system is adopted as a typical example to illustrate the scheme. We show that these gates can be realized in a simple two-level configuration by appropriately controlling the amplitude, phase, and frequency of just one microwave field. The gate's robust and fast features are confirmed by comparing the fidelity of the proposed superadiabatic geometric phase (controlled-PHASE) gate with those of two other kinds of phase (controlled-PHASE) gates.
6 pages, 2 figures
References in corpus (39)
- High-sensitivity diamond magnetometer with nanoscale resolution
- Sensing electric fields using single diamond spins
- Quantum Computing with Very Noisy Devices
- Holonomic Quantum Computation
- Geometric Manipulation of Trapped Ions for Quantum Computation
- Observation of coherent oscillation of a single nuclear spin and realization of a two-qubit conditional quantum gate
- Shortcut to adiabatic passage in two and three level atoms
- Shortcuts to adiabaticity by counter-diabatic driving
- Room temperature entanglement between distant single spins in diamond
- High-fidelity quantum driving
- Scalable quantum register based on coupled electron spins in a room temperature solid
- Experimental Realization of Nonadiabatic Holonomic Quantum Computation
- Dynamic polarization of single nuclear spins by optical pumping of NV color centers in diamond at room temperature
- Non-adiabatic holonomic quantum computation
- Experimental Realization of Universal Geometric Quantum Gates with Solid-State Spins
- Implementation of universal quantum gates based on nonadiabatic geometric phases
- Experimental Realization of Non-Abelian Geometric Gates
- High fidelity spin entanglement using optimal control
- Non-Abelian Berry connections for quantum computation
- Non-adiabatic conditional geometric phase shift with NMR
- Non-Adiabatic Holonomic Quantum Computation in Decoherence-Free Subspaces
- Experimental fault-tolerant universal quantum gates with solid-state spins under ambient conditions
- Scalable Architecture for a Room Temperature Solid-State Quantum Information Processor
- Berry phase for a spin 1/2 in a classical fluctuating field
- Experimental implementation of assisted quantum adiabatic passage in a single spin
- Geometric quantum gates robust against stochastic control errors
- Geometric quantum computation and multi-qubit entanglement with superconducting charge qubits inside a cavity
- Universal holonomic quantum gates in decoherence-free subspace on superconducting circuits
- Robustness of non-adiabatic holonomic gates
- Noise thresholds for optical quantum computers
- Superadiabatic Controlled Evolutions and Universal Quantum Computation
- Three-level superadiabatic quantum driving
- Exploring the Effect of Noise on the Berry Phase
- Universal quantum gates based on a pair of orthogonal cyclic states: Application to NMR systems
- Geometric phases in quantum information
- Experimental implementation of high-fidelity unconventional geometric quantum gates using NMR interferometer
- Geometric Phase Gates with Adiabatic Control in Electron Spin Resonance
- Demonstration of Geometric Landau-Zener Interferometry in a Superconducting Qubit
- Cavity QED implementation of non-adiabatic holonomies for universal quantum gates in decoherence-free subspaces with nitrogen-vacancy centers
Cited by in corpus (33)
- Shortcuts to adiabaticity: concepts, methods, and applications
- Experimental Realization of Nonadiabatic Shortcut to Non-Abelian Geometric Gates
- The experimental realization of high-fidelity `shortcut-to-adiabaticity' quantum gates in a superconducting Xmon qubit
- Nonadiabatic geometric quantum computation with cat qubits via invariant-based reverse engineering
- Single-shot realization of nonadiabatic holonomic quantum gates in decoherence-free subspaces
- Optimized Geometric Quantum Computation with mesoscopic ensemble of Rydberg Atoms
- Nonadiabatic noncyclic geometric quantum computation in Rydberg atoms
- Superadiabatic Holonomic Quantum Computation in Cavity QED
- Universal, high-fidelity quantum gates based on superadiabatic, geometric phases on a solid-state spin-qubit at room temperature
- Realization of Superadiabatic Two-qubit Gates Using Parametric Modulation in Superconducting Circuits
- Heralded atomic nonadiabatic holonomic quantum computation with Rydberg blockade
- Fast binomial-code holonomic quantum computation with ultrastrong light-matter coupling
- Generalized Shortcuts to Adiabaticity and Enhanced Robustness Against Decoherence
- Path-shortening realizations of nonadiabatic holonomic gates
- Experimental Implementation of Generalized Transitionless Quantum Driving
- Construction of robust Rydberg controlled-phase gates
- Single-atom verification of the noise-resilient and fast characteristics of universal nonadiabatic noncyclic geometric quantum gates
- Accelerating geometric quantum gates through non-cyclic evolution and shortcut to adiabaticity
- Universal speeded-up adiabatic geometric quantum computation in three-level systems via counterdiabatic driving
- Designing dynamically corrected gates robust to multiple noise sources using geometric space curves
- Accelerated quantum control in a three-level system by jumping along the geodesics
- Conditions for Equivalent Noise Sensitivity of Geometric and Dynamical Quantum Gates
- Reverse engineering of one-qubit filter functions with dynamical invariants
- Berry-phase-based quantum gates assisted by transitionless quantum driving
- Robustness of controlled Hamiltonian approaches to unitary quantum gates
- Implementing conventional and unconventional nonadiabatic geometric quantum gates via SU(2) transformations
- Transitionless quantum driving in spin echo
- Quantum Shortcut to Adiabaticity for State Preparation in a Finite-Sized Jaynes-Cummings Lattice
- Decoherence mitigation for geometric quantum computation
- Adiabatic Dynamics and Shortcuts to Adiabaticity: Fundamentals and Applications
- Fast magnetic field manipulations and nonadiabatic geometric phases of nitrogen-vacancy center spin in diamond
- Implementing a Universal Set of Geometric Quantum Gates through Dressed-State assisted STA
- Geometric and holonomic quantum computation