Implementing conventional and unconventional nonadiabatic geometric quantum gates via SU(2) transformations
arXiv:2010.02064 · doi:10.1103/PhysRevA.103.032616
Abstract
We propose a simple but versatile protocol to engineer time-dependent Hamiltonians inversely for geometric quantum computation. By utilizing SU(2) transformation, a speedup goal on gate operation is achieved with more freedom to design the control parameters. As an application, this protocol enables the conventional and unconventional nonadiabatic geometric quantum gates with desired evolution paths by controlling the microwave pulses in the diamond nitrogen-vacancy center system. We show that the inversely designed Hamiltonian can fulfill the geometric gate with more economical evolution time and further reduces the influence of the environment noise on gate fidelity.
arXiv comment7 pages,4 figures
References in corpus (40)
- The nitrogen-vacancy colour centre in diamond
- Experimental realization of Shor's quantum factoring algorithm using nuclear magnetic resonance
- Holonomic Quantum Computation
- Observation of coherent oscillation of a single nuclear spin and realization of a two-qubit conditional quantum gate
- Experimental Realization of Nonadiabatic Holonomic Quantum Computation
- Quantum computers can search arbitrarily large databases by a single query
- Non-adiabatic holonomic quantum computation
- Observation of Berry's Phase in a Solid State Qubit
- 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
- Non-Adiabatic Holonomic Quantum Computation in Decoherence-Free Subspaces
- Unconventional geometric quantum computation
- Experimental fault-tolerant universal quantum gates with solid-state spins under ambient conditions
- Plug-and-Play Approach to Non-adiabatic Geometric Quantum Gates
- Geometric quantum gates robust against stochastic control errors
- Holonomic Quantum Control by Coherent Optical Excitation in Diamond
- Single-loop realization of arbitrary non-adiabatic holonomic single-qubit quantum gates in a superconducting circuit
- Optical holonomic single quantum gates with a geometric spin under a zero field
- Experimental Realization of Nonadiabatic Shortcut to Non-Abelian Geometric Gates
- Universal holonomic quantum gates in decoherence-free subspace on superconducting circuits
- Robustness of non-adiabatic holonomic gates
- Experimental implementation of universal nonadiabatic geometric quantum gates in a superconducting circuit
- Rydberg-atom-based scheme of nonadiabatic geometric quantum computation
- Exploring the Effect of Noise on the Berry Phase
- Universal quantum gates based on a pair of orthogonal cyclic states: Application to NMR systems
- Nonadiabatic holonomic quantum computation with dressed-state qubits
- Nonadiabatic geometric quantum computation with parametrically tunable coupling
- Entanglement generation in superconducting qubits using holonomic operations
- Implementing universal nonadiabatic holonomic quantum gates with transmons
- Proposal for implementing universal superadiabatic geometric quantum gates in nitrogen-vacancy centers
- Experimental implementation of high-fidelity unconventional geometric quantum gates using NMR interferometer
- Geometric Phase Gates with Adiabatic Control in Electron Spin Resonance
- Composite pulses in NMR as non-adiabatic geometric quantum gates
- General approach for constructing Hamiltonians for nonadiabatic holonomic quantum computation
- Nonadiabatic geometric quantum computation in decoherence-free subspaces based on unconventional geometric phases
- Environment-assisted holonomic quantum maps
- Non-Abelian holonomic transformation in the presence of classical noise
- Lie transformation method on quantum state evolution of a general time-dependent driven and damped parametric oscillator