Ultrahigh-fidelity composite rotational quantum gates
arXiv:2012.14692 · doi:10.1103/PhysRevA.104.012609
Abstract
Composite pulse sequences, which produce arbitrary pre-defined rotations of a qubit on the Bloch sphere, are presented. The composite sequences contain up to 17 pulses and can compensate up to eight orders of experimental errors in the pulse amplitude and the pulse duration. Composite sequences for three basic quantum gates -- X (NOT), Hadamard and arbitrary rotation -- are derived. Three classes of composite sequences are presented -- one symmetric and two asymmetric. They contain as their lowest members two well-known composite sequences -- the three-pulse symmetric SCROFULOUS pulse and the four-pulse asymmetric BB1 pulse, which compensate first and second-order errors, respectively. The shorter sequences are derived analytically, and the longer ones numerically (instead by nesting and concatenation, as mostly done hitherto). Consequently, the composite sequences derived here match or outperform the existing ones in terms of either speed or accuracy, or both. For example, we derive a second-order composite sequence, which is faster (by about 13\%) than the famous BB1 sequence. For higher-order sequences the speed-up becomes much more pronounced. This is important for quantum information processing as the sequences derived here provide more options for finding the sweet spot between ultrahigh fidelity and high speed.
arXiv comment12 pages, 3 figures
References in corpus (50)
- NMR Techniques for Quantum Control and Computation
- Quantum computing with trapped ions
- Stimulated Raman adiabatic passage in physics, chemistry and beyond
- Realization of the quantum Toffoli gate with trapped ions
- Experimental fault-tolerant universal quantum gates with solid-state spins under ambient conditions
- Tackling Systematic Errors in Quantum Logic Gates with Composite Rotations
- Quantum Computing with NMR
- Composite pulses for robust universal control of singlet-triplet qubits
- Correction of Arbitrary Errors in Population Inversion of Quantum Systems by Universal Composite Pulses
- Arbitrarily Accurate Pulse Sequences for Robust Dynamical Decoupling
- Error-resistant Single Qubit Gates with Trapped Ions
- Noise-resistant control for a spin qubit array
- Robust quantum gates for singlet-triplet spin qubits using composite pulses
- Robust and resource-efficient microwave near-field entangling Be gate
- Robust Ising Gates for Practical Quantum Computation
- Composite-pulse magnetometry with a solid-state quantum sensor
- Composite pulses for interferometry in a thermal cold atom cloud
- Robust CNOT gates from almost any interaction
- Progress and perspectives on composite laser-pulses spectroscopy for high-accuracy optical clocks
- Error Compensation of Single-Qubit Gates in a Surface Electrode Ion Trap Using Composite Pulses
- High-fidelity local addressing of trapped ions and atoms by composite sequences of laser pulses
- Designing short robust NOT gates for quantum computation
- Arbitrary precision composite pulses for NMR quantum computing
- Highly efficient broadband conversion of light polarization by composite retarders
- Accurate Microwave Control and Real-Time Diagnostics of Neutral Atom Qubits
- Randomized benchmarking of barrier versus tilt control of a singlet-triplet qubit
- Spatially uniform single-qubit gate operations with near-field microwaves and composite pulse compensation
- Dynamically corrected gates for an exchange-only qubit
- Generation of high-fidelity quantum control methods for multi-level systems
- Experimental demonstration of composite stimulated Raman adiabatic passage
- Transformed Composite Sequences for Improved Qubit Addressing
- High-fidelity error-resilient composite phase gates
- Composite two-qubit gates
- Arbitrarily accurate variable rotations on the Bloch sphere by composite pulse sequences
- A precise CNOT gate in the presence of large fabrication induced variations of the exchange interaction strength
- Navigation between quantum states by quantum mirrors
- Further analysis of some symmetric and antisymmetric composite pulses for tackling pulse strength errors
- Composite pulses for high-fidelity population inversion in optically dense, inhomogeneously broadened atomic ensembles
- Narrowband and passband composite pulses for variable rotations
- Composite pulses with errant phases
- Robust Logic Gates and Realistic Quantum Computation
- Robust optomechanical state transfer under composite phase driving
- Generation of arbitrary qubit states by adiabatic evolution split by a phase jump
- Highly efficient broadband polarization retarders and tunable polarization filters made of composite stacks of ordinary wave plates
- Nested composite NOT gates for quantum computation
- Scalable uniform construction of highly-conditional quantum gates
- Broadband polarization rotator with tunable rotation angle composed of three wave-plates
- Suppressing Weak Ising Couplings: Tailored Gates for Quantum Computation
- Achromatic polarization rotator with tunable rotation angle
- Variable Ultra-broadband and Narrowband Composite Polarization Retarders
Cited by in corpus (13)
- Local readout and control of current and kinetic energy operators in optical lattices
- Supervised learning for robust quantum control in composite-pulse systems
- Controlling NMR spin systems for quantum computation
- Optimizing nonadiabatic geometric quantum gates against off-resonance error by dynamical correction in a silicon-based spin qubit
- A High-Power Clock Laser Spectrally Tailored for High-Fidelity Quantum State Engineering
- Three-state coherent control using narrowband and passband sequences
- Ultrahigh-fidelity composite quantum phase gates
- Segmented Composite Design of Robust Single-Qubit Quantum Gates
- Robust transitionless quantum driving: Concatenated approach
- Ultrabroadband, ultranarrowband and ultrapassband composite polarisation half-wave plates, ultrabroadband composite polarisation pi-rotators and on the quantum-classical analogy
- Resource state generation for a multispin register in a hybrid matter-photon quantum information processor
- All You Need is pi: Quantum Computing with Hermitian Gates
- Robust and Parallel Control of Many Qubits