Robust nonadiabatic geometric quantum computation by dynamical correction

Abstract

Besides the intrinsic noise resilience property, nonadiabatic geometric phases are of the fast evolution nature, and thus can naturally be used in constructing quantum gates with excellent performance, i.e., the so-called nonadiabatic geometric quantum computation (NGQC). However, previous single-loop NGQC schemes are sensitive to the operational control error, i.e., the $X$ error, due to the limitations of the implementation. Here, we propose a robust scheme for NGQC combining with the dynamical correction technique, which still uses only simplified pulses, and thus being experimental friendly. We numerically show that our scheme can greatly improve the gate robustness in previous protocols, retaining the intrinsic merit of geometric phases. Furthermore, to fight against the dephasing noise, due to the $Z$ error, we can incorporate the decoherence-free subspace encoding strategy. In this way, our scheme can be robust against both types of errors. Finally, we also propose how to implement the scheme with encoding on superconducting quantum circuits with experimentally demonstrated technology. Therefore, due to the intrinsic robustness, our scheme provides a promising alternation for the future scalable fault-tolerant quantum computation.

arXiv comment6 pages, 5 figures

References in corpus (39)

• Supplementary information for "Quantum supremacy using a programmable superconducting processor"
• Polynomial-Time Algorithms for Prime Factorization and Discrete Logarithms on a Quantum Computer
• Charge insensitive qubit design derived from the Cooper pair box
• Decoherence Free Subspaces for Quantum Computation
• Dynamical Decoupling of Open Quantum Systems
• Noiseless Quantum Codes
• Holonomic Quantum Computation
• Preserving coherence in quantum computation by pairing quantum bits
• 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
• Non-Abelian Berry connections for quantum computation
• Non-adiabatic conditional geometric phase shift with NMR
• Non-Adiabatic Holonomic Quantum Computation in Decoherence-Free Subspaces
• Demonstration of Universal Parametric Entangling Gates on a Multi-Qubit Lattice
• Unconventional geometric quantum computation
• Low-decoherence flux qubit
• Dynamically Error-Corrected Gates for Universal Quantum Computation
• Experimental fault-tolerant universal quantum gates with solid-state spins under ambient conditions
• Parametrically Activated Entangling Gates Using Transmon Qubits
• Composite pulses for robust universal control of singlet-triplet qubits
• Perfect quantum state transfer in a superconducting qubit chain with parametrically tunable couplings
• Experimental implementation of universal nonadiabatic geometric quantum gates in a superconducting circuit
• Rydberg-atom-based scheme of nonadiabatic geometric quantum computation
• Quantum brachistochrone curves as geodesics: obtaining accurate control protocols for time-optimal quantum gates
• Universal quantum gates based on a pair of orthogonal cyclic states: Application to NMR systems
• Continuous-variable geometric phase and its manipulation for quantum computation in a superconducting circuit
• Analysis of parametrically driven exchange-type (iSWAP) and two-photon (bSWAP) interactions between superconducting qubits
• Nonadiabatic geometric quantum computation with parametrically tunable coupling
• Experimental time-optimal universal control of spin qubits in solids
• High-fidelity and Robust Geometric Quantum Gates that Outperform Dynamical Ones
• Nonadiabatic Geometric Quantum Computation Using A Single-loop Scenario
• High-fidelity geometric gate for silicon-based spin qubits
• Superrobust Geometric Control of a Superconducting Circuit
• Path-optimized nonadiabatic geometric quantum computation on superconducting qubits
• Nonadiabatic geometric quantum gates that are insensitive to qubit-frequency drifts
• High-fidelity geometric quantum gates with short paths on superconducting circuits
• Nonadiabatic geometric quantum computation with shortened path on superconducting circuits
• Realization of universal nonadiabatic geometric control on decoherence-free qubits in the XY model

Cited by in corpus (5)

• Optimizing nonadiabatic geometric quantum gates against off-resonance error by dynamical correction in a silicon-based spin qubit
• Investigation of Floquet engineered non-Abelian geometric phase for holonomic quantum computing
• Genuinely noncyclic geometric gates in two-pulse schemes
• Dynamical-Corrected Nonadiabatic Geometric Quantum Computation
• Suppressing classical noise in the accelerated geometric phase gate by optimized dynamical decoupling