Optical holonomic single quantum gates with a geometric spin under a zero field
arXiv:1710.04885 · doi:10.1038/nphoton.2017.40
Abstract
Realization of fast fault-tolerant quantum gates on a single spin is the core requirement for solid-state quantum-information processing. As polarized light shows geometric interference, spin coherence is also geometrically controlled with light via the spin-orbit interaction. Here, we show that a geometric spin in a degenerate subspace of a spin-1 electronic system under a zero field in a nitrogen vacancy center in diamond allows implementation of optical non-adiabatic holonomic quantum gates. The geometric spin under quasi-resonant light exposure undergoes a cyclic evolution in the spin-orbit space, and acquires a geometric phase or holonomy that results in rotations about an arbitrary axis by any angle defined by the light polarization and detuning. This enables universal holonomic quantum gates with a single operation. We demonstrate a complete set of Pauli quantum gates using the geometric spin preparation and readout techniques. The new scheme opens a path to holonomic quantum computers and repeaters.
References in corpus (18)
- Holonomic Quantum Computation
- Geometric quantum computation with NMR
- Properties of nitrogen-vacancy centers in diamond: group theoretic approach
- Experimental Realization of Nonadiabatic Holonomic Quantum Computation
- 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
- Non-adiabatic conditional geometric phase shift with NMR
- Ultrafast optical rotations of electron spins in quantum dots
- High fidelity transfer and storage of photon states in a single nuclear spin
- Coherent transfer of light polarization to electron spins in a semiconductor
- Quantum process tomography and Linblad estimation of a solid state qubit
- Optical manipulation of Berry phase in a solid-state spin qubit
- Theory of fast optical spin rotation in a quantum dot based on geometric phases and trapped states
- Realization of holonomic single-qubit operations
- Geometric spin echo under zero field
- Absorption-based Quantum Communication with NV centres
Cited by in corpus (88)
- Plug-and-Play Approach to Non-adiabatic Geometric Quantum Gates
- Holonomic Quantum Control by Coherent Optical Excitation in Diamond
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- Experimental implementation of universal nonadiabatic geometric quantum gates in a superconducting circuit
- Single-Loop and Composite-Loop Realization of Nonadiabatic Holonomic Quantum Gates in a Decoherence-Free Subspace
- Nonadiabatic geometric quantum computation with parametrically tunable coupling
- Entanglement generation in superconducting qubits using holonomic operations
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- Experimental Realization of Nonadiabatic Holonomic Single-Qubit Quantum Gates\\ with Optimal Control in a Trapped Ion
- Optimized Geometric Quantum Computation with mesoscopic ensemble of Rydberg Atoms
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- Fast holonomic quantum computation on superconducting circuits with optimal control
- Experimental state control by fast non-Abelian holonomic gates with a superconducting qutrit
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- General approach for constructing Hamiltonians for nonadiabatic holonomic quantum computation
- Fast binomial-code holonomic quantum computation with ultrastrong light-matter coupling
- Robust and Fast Holonomic Quantum Gates with Encoding on Superconducting Circuits
- High-fidelity geometric gate for silicon-based spin qubits
- Path-shortening realizations of nonadiabatic holonomic gates
- Environment-assisted holonomic quantum maps
- Fast holonomic quantum computation based on solid-state spins with all-optical control
- Single-shot realization of nonadiabatic holonomic gates with a superconducting Xmon qutrit
- Single-atom verification of the noise-resilient and fast characteristics of universal nonadiabatic noncyclic geometric quantum gates
- Nonadiabatic holonomic multiqubit controlled gates
- Zero- and Low-Field Sensing with Nitrogen Vacancy Centers
- Dynamical-decoupling-protected nonadiabatic holonomic quantum computation
- Robust paths to realize nonadiabatic holonomic gates
- Second-Harmonic Generation in Bulk Diamond Based on Inversion Symmetry Breaking by Color Centers
- Composite Short-path Nonadiabatic Holonomic Quantum Gates
- Deterministic preparation of W states via spin-photon interactions
- Super-robust nonadiabatic geometric quantum control
- Dynamically Corrected Nonadiabatic Holonomic Quantum Gates
- Superrobust Geometric Control of a Superconducting Circuit
- Nonadiabatic holonomic quantum computation on coupled transmons with ancillaries
- Giant nonlinear optical effects induced by nitrogen-vacancy centers in diamond crystals
- Experimental Realization of Nonadiabatic Holonomic Single-Qubit Quantum Gates with Two Dark Paths in a Trapped Ion
- Rabi-error and Blockade-error-resilient All-Geometric Rydberg Quantum Gates
- Optical Control of a Single Nuclear Spin in the Solid State
- Realization of a deterministic quantum Toffoli gate with a single photon
- Dynamical decoupling of a geometric qubit
- Noncyclic Geometric Quantum Gates with Smooth Paths via Invariant-based Shortcuts
- Exploring Non-Abelian Geometric Phases in Spin-1 Ultracold Atoms
- Realizing nonadiabatic holonomic quantum computation beyond the three-level setting
- High-fidelity geometric quantum gates with short paths on superconducting circuits
- Nonadiabatic Holonomic Quantum Computation and Its Optimal Control
- Decoherence-Suppressed Non-adiabatic Holonomic Quantum Computation
- Atom-Orbital Qubits under Holonomic Quantum Control
- Unidirectional acoustic metamaterials based on nonadiabatic holonomic quantum transformations
- Temperature-dependent second-harmonic generation from color centers in diamond
- Scalable nonadiabatic holonomic quantum computation on a superconducting qubit lattice
- Accelerated super-robust nonadiabatic holonomic quantum gates
- Geometric quantum gates via dark paths in Rydberg atoms
- Two-step frequency conversion for connecting distant quantum memories by transmission through an optical fiber
- Nonadiabatic holonomic quantum computation based on commutation relation
- Conditions for Equivalent Noise Sensitivity of Geometric and Dynamical Quantum Gates
- Leakage Suppression for Holonomic Quantum Gates
- All-microwave holonomic control of an electron-nuclear two-qubit register in diamond
- Noncyclic nonadiabatic holonomic quantum gates via shortcuts to adiabaticity
- Universal Robust Geometric Quantum Control via Geometric Trajectory Correction
- Nonadiabatic Holonomic Quantum Computation via Path Optimization
- Universal single-qubit non-adiabatic holonomic quantum gates in optomechanical system
- Error-Tolerant Geometric Quantum Control for Logical Qubits with Minimal Resource
- Optimizing nonadiabatic geometric quantum gates against off-resonance error by dynamical correction in a silicon-based spin qubit
- Implementation of geometric quantum gates on microwave-driven semiconductor charge qubits
- Cooperative dynamic polaronic picture of diamond color centers
- Qubit guidelines for solid-state spin defects
- Investigation of Floquet engineered non-Abelian geometric phase for holonomic quantum computing
- Implementing conventional and unconventional nonadiabatic geometric quantum gates via SU(2) transformations
- Error-Resilient Floquet Geometric Quantum Computation
- Non-adiabatic holonomic quantum operations in continuous variable systems
- Optical signatures of Mott-superfluid transition in nitrogen-vacancy centers coupled to photonic crystal cavities
- Holonomic swap and controlled-swap gates of neutral atoms via selective Rydberg pumping
- Ultrafast time-scale Berry-phase gates of atomic clock states
- Intrinsic bounds of a two-qudit random evolution
- Entangling power of holonomic gates in atom-cavity systems
- Robust Nonadiabatic Holonomic Quantum Gates on Decoherence-Protected Qubits
- State-independent geometric quantum gates via nonadiabatic and noncyclic evolution
- Mitigation of systematic amplitude error in nonadiabatic holonomic operations
- Speeding up adiabatic holonomic quantum gates via -pulse modulation
- Universal quantum gates by nonadiabatic holonomic evolution for the surface electron
- Robustness Enhancement of Universal Noncyclic Geometric Gates via Evolution Optimization
- Optimal demonstration of Autler Townes splitting
- Geometric and holonomic quantum computation
- Quantum Orbital-State Control of a Neutral Nitrogen-Vacancy Center at Millikelvin Temperatures
- Implementing a Universal Set of Geometric Quantum Gates through Dressed-State assisted STA
- Noise Effects on the Wilczek-Zee Geometric Phase
- Scalable star-shape architecture for universal spin-based nonadiabatic holonomic quantum computation