Experimental implementation of universal nonadiabatic geometric quantum gates in a superconducting circuit
arXiv:1910.12271 · doi:10.1103/PhysRevLett.124.230503
Abstract
Using geometric phases to realize noise-resilient quantum computing is an important method to enhance the control fidelity. In this work, we experimentally realize a universal nonadiabatic geometric quantum gate set in a superconducting qubit chain. We characterize the realized single- and two-qubit geometric gates with both quantum process tomography and randomized benchmarking methods. The measured average fidelities for the single-qubit rotation gates and two-qubit controlled-Z gate are 0.9977(1) and 0.977(9), respectively. Besides, we also experimentally demonstrate the noise-resilient feature of the realized single-qubit geometric gates by comparing their performance with the conventional dynamical gates with different types of errors in the control field. Thus, our experiment proves a way to achieve high-fidelity geometric quantum gates for robust quantum computation.
arXiv commentMain text: 7 pages, 4 figures; Supplement: 5 pages, 4 figures
References in corpus (57)
- Berry Phase Effects on Electronic Properties
- Charge insensitive qubit design derived from the Cooper pair box
- Logic gates at the surface code threshold: Superconducting qubits poised for fault-tolerant quantum computing
- Atomic physics and quantum optics using superconducting circuits
- NMR Techniques for Quantum Control and Computation
- Demonstration of Two-Qubit Algorithms with a Superconducting Quantum Processor
- Randomized Benchmarking of Quantum Gates
- Holonomic Quantum Computation
- Simple pulses for elimination of leakage in weakly nonlinear qubits
- Geometric Manipulation of Trapped Ions for Quantum Computation
- Coherent Josephson qubit suitable for scalable quantum integrated circuits
- Robust randomized benchmarking of quantum processes
- Experimental Realization of Nonadiabatic Holonomic Quantum Computation
- Efficient measurement of quantum gate error by interleaved randomized benchmarking
- 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
- Detection of Geometric Phases in Superconducting Nanocircuits
- Implementation of universal quantum gates based on nonadiabatic geometric phases
- Experimental Realization of Non-Abelian Geometric Gates
- Non-Abelian Berry connections for quantum computation
- Non-adiabatic conditional geometric phase shift with NMR
- Characterization of addressability by simultaneous randomized benchmarking
- Non-Adiabatic Holonomic Quantum Computation in Decoherence-Free Subspaces
- Demonstration of Universal Parametric Entangling Gates on a Multi-Qubit Lattice
- Parametrically Activated Entangling Gates Using Transmon Qubits
- Quantum Computing with NMR
- Plug-and-Play Approach to Non-adiabatic Geometric Quantum Gates
- Geometric quantum gates robust against stochastic control errors
- Perfect quantum state transfer in a superconducting qubit chain with parametrically tunable couplings
- 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
- Experimental demonstration of the stability of Berry's phase for a spin-1/2 particle
- Robustness of non-adiabatic holonomic gates
- Observation of topological magnon insulator states in a superconducting circuit
- Universal stabilization of a parametrically coupled qubit
- Experimental determination of the Berry phase in a superconducting charge pump
- Rydberg-atom-based scheme of nonadiabatic geometric quantum computation
- Optical manipulation of Berry phase in a solid-state spin qubit
- Exploring the Effect of Noise on the Berry Phase
- Continuous-variable geometric phase and its manipulation for quantum computation 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
- Realization of holonomic single-qubit operations
- Comparison of the sensitivity to systematic errors between non-adiabatic non-Abelian geometric gates and their dynamical counterparts
- Geometric Phase and Non-Adiabatic Effects in an Electronic Harmonic Oscillator
- Geometric Phase Gates with Adiabatic Control in Electron Spin Resonance
- Superadiabatic Holonomic Quantum Computation in Cavity QED
- On the stability of quantum holonomic gates
- Composite pulses in NMR as non-adiabatic geometric quantum gates
- Non-Abelian adiabatic geometric transformations in a cold Strontium gas
- Non-Abelian holonomic transformation in the presence of classical noise
- Geometric Aspects of Composite Pulses
- Measurement of a Vacuum-Induced Geometric Phase
- Transport of the repulsive Bose-Einstein condensate in a double-well trap: interaction impact and relation to Josephson effect
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- Experimental implementation of universal holonomic quantum computation on solid-state spins with optimal control
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