Robust control of a NOT gate by composite pulses
arXiv:2001.05441 · doi:10.1103/PhysRevA.101.012321
Abstract
We present a general procedure to implement a NOT gate by composite pulses robust against both offset uncertainties and control field variations. We define different degrees of robustness in this two-parameter space, namely along one, two or all directions. We show that the phases of the composite pulse satisfy a nonlinear system, and can be computed analytically or numerically.
arXiv comment18 pages, 9 figures
References in corpus (40)
- Shortcuts to adiabaticity: concepts, methods, and applications
- Control of quantum phenomena: Past, present, and future
- Stimulated Raman adiabatic passage in physics, chemistry and beyond
- Training Schrödinger's cat: quantum optimal control
- Shortcut to adiabatic passage in two and three level atoms
- Extending Quantum Coherence in Diamond
- Optimally robust shortcuts to population inversion in two-level quantum systems
- Quantum control of molecular rotation
- Robust quantum control by shaped pulse
- Arbitrarily accurate composite pulses
- Monotonically convergent optimization in quantum control using Krotov's method
- Composite pulses for robust universal control of singlet-triplet qubits
- The methodology of resonant equiangular composite quantum gates
- Correction of Arbitrary Errors in Population Inversion of Quantum Systems by Universal Composite Pulses
- Time-optimal control of SU(2) quantum operations
- Robust quantum gates for singlet-triplet spin qubits using composite pulses
- Robustness of composite pulses to time-dependent control noise
- Robust Ising Gates for Practical Quantum Computation
- Robust optimal control of two-level quantum systems
- High Fidelity Single Qubit Operations using Pulsed EPR
- Ultrafast stimulated Raman parallel adiabatic passage by shaped pulses
- Simultaneous time-optimal control of the inversion of two spin 1/2 particles
- Geometric optimal control of the contrast imaging problem in Nuclear Magnetic Resonance
- Composite stimulated Raman adiabatic passage
- Composite pulses in NMR as non-adiabatic geometric quantum gates
- Designing short robust NOT gates for quantum computation
- Optimal arbitrarily accurate composite pulse sequences
- The Fantastic Four: A plug 'n' play set of optimal control pulses for enhancing nmr spectroscopy
- Transformed Composite Sequences for Improved Qubit Addressing
- High-fidelity error-resilient composite phase gates
- Composite two-qubit gates
- Detuning-modulated composite pulses for high-fidelity robust quantum control
- Designing Robust Unitary Gates: Application to Concatenated Composite Pulse
- Control of Inhomogeneous Ensembles on The Bloch Sphere
- Arbitrarily accurate twin composite pulse sequences
- Robust Logic Gates and Realistic Quantum Computation
- A discrete-pulse optimal control algorithm with an application to spin systems
- Refocusing two qubit gate noise for trapped ions by composite pulses
- 6th order robust pulses for quantum control
- Construction of Arbitrary Robust One-Qubit Operations Using Planar Geometry
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- Supervised learning for robust quantum control in composite-pulse systems
- Composite pulses for high fidelity population transfer in three-level systems
- Crosstalk-Robust Quantum Control in Multimode Bosonic Systems
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- Three-state coherent control using narrowband and passband sequences
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- Influence of Random Telegraph Noise on Quantum Bit Gate Operation
- Time-optimal single-scalar control on a qubit of unitary dynamics
- An automated geometric space curve approach for designing dynamically corrected gates
- Application of Optimal Control to Time-Resolution Protocol for Quantum Sensing