Electric nonadiabatic geometric entangling gates on spin qubits
arXiv:1612.04500 · doi:10.1103/PhysRevA.96.012307
Abstract
Producing and maintaining entanglement reside at the heart of the optimal construction of quan- tum operations and are fundamental issues in the realization of universal quantum computation. We here introduce a setup of spin qubits that allows for geometric implementation of entangling gates between the register qubits with any arbitrary entangling power. We show this by demon- strating a circuit through a spin chain, which performs universal nonadiabatic holonomic two-qubit entanglers. The proposed gates are all electric and geometric, which would help to realize fast and robust entangling gates on spin qubits. This family of entangling gates contains gates that are as efficient as the CNOT gate in quantum algorithms. We examine the robustness of the circuit to some extent.
8 pages, 8 figures
References in corpus (10)
- Hyperfine interaction in a quantum dot: Non-Markovian electron spin dynamics
- Experimental Realization of Universal Geometric Quantum Gates with Solid-State Spins
- Universal holonomic quantum gates in decoherence-free subspace on superconducting circuits
- Robustness of non-adiabatic holonomic gates
- Nonadiabatic holonomic quantum computation with all-resonant control
- On the stability of quantum holonomic gates
- Spin-spin coupling in electrostatically coupled quantum dots
- Cavity QED implementation of non-adiabatic holonomies for universal quantum gates in decoherence-free subspaces with nitrogen-vacancy centers
- Coupling of three-spin qubits to their electric environment
- Anisotropy of spin coherence in high mobility quantum wells with arbitrary magnetic fields
Cited by in corpus (23)
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- Fast holonomic quantum computation on superconducting circuits with optimal control
- General approach for constructing Hamiltonians for nonadiabatic holonomic quantum computation
- Nonadiabatic holonomic quantum computation with Rydberg superatoms
- High-fidelity geometric gate for silicon-based spin qubits
- Fast holonomic quantum computation based on solid-state spins with all-optical control
- Single-atom verification of the noise-resilient and fast characteristics of universal nonadiabatic noncyclic geometric quantum gates
- Nonadiabatic holonomic multiqubit controlled gates
- Dynamical-decoupling-protected nonadiabatic holonomic quantum computation
- Super-robust nonadiabatic geometric quantum control
- Superrobust Geometric Control of a Superconducting Circuit
- Nonadiabatic holonomic quantum computation on coupled transmons with ancillaries
- Rabi-error and Blockade-error-resilient All-Geometric Rydberg Quantum Gates
- Enhanced-Fidelity Ultrafast Geometric Quantum Computation Using Strong Classical Drives
- Fast high-fidelity geometric gates for singlet-triplet qubits
- Implementation of geometric quantum gates on microwave-driven semiconductor charge qubits
- Error-Resilient Floquet Geometric Quantum Computation
- Floquet geometric entangling gates in ground-state manifolds of Rydberg atoms
- Entangling power of holonomic gates in atom-cavity systems
- Decoherence mitigation for geometric quantum computation
- Scalable star-shape architecture for universal spin-based nonadiabatic holonomic quantum computation
- Geometric and holonomic quantum computation