Error-Tolerant Geometric Quantum Control for Logical Qubits with Minimal Resource
arXiv:2112.08823 · doi:10.1103/PhysRevApplied.18.014062
Abstract
Geometric quantum computation offers a practical strategy toward robust quantum computation due to its inherently error tolerance. However, the rigorous geometric conditions lead to complex and/or error-disturbed quantum controls, especially for logical qubits that involve more physical qubits, whose error tolerance is effective in principle though, their experimental demonstration is still demanding. Thus, how to best simplify the needed control and manifest its full advantage has become the key to widespread applications of geometric quantum computation. Here we propose a new fast and robust geometric scheme, with the decoherence-free-subspace encoding, and present its physical implementation on superconducting quantum circuits, where we only utilize the experimentally demonstrated parametrically tunable coupling to achieve high-fidelity geometric control over logical qubits. Numerical simulation verifies that it can efficiently combine the error tolerance from both the geometric phase and logical-qubit encoding, displaying our gate-performance superiority over the conventional dynamical one without encoding, in terms of both gate fidelity and robustness. Therefore, our scheme can consolidate both error suppression methods for logical-qubit control, which sheds light on the future large-scale quantum computation.
8 pages, 5 figures
References in corpus (12)
- Simple pulses for elimination of leakage in weakly nonlinear qubits
- Experimental Realization of Universal Geometric Quantum Gates with Solid-State Spins
- Optical holonomic single quantum gates with a geometric spin under a zero field
- Holonomic quantum computation in decoherence-free subspaces
- Rydberg-atom-based scheme of nonadiabatic geometric quantum computation
- Composite pulses in NMR as non-adiabatic geometric quantum gates
- Doubly geometric quantum control
- Nonadiabatic geometric quantum computation in decoherence-free subspaces based on unconventional geometric phases
- Robust and Fast Holonomic Quantum Gates with Encoding on Superconducting Circuits
- Scalable solid-state quantum computation in decoherence-free subspaces with trapped ions
- Path-optimized nonadiabatic geometric quantum computation on superconducting qubits
- Nonadiabatic geometric quantum gates that are insensitive to qubit-frequency drifts