Narrowband and passband composite pulses for variable rotations

Abstract

We develop a systematic approach to derive narrowband (NB) and passband (PB) composite sequences which can produce any pre-selected transition probability with any desired accuracy. The NB composite pulses are derived by successive cancellation of derivative terms in the propagator. The PB pulses are built by combining two half-$\pi$ NB pulses. Both the NB and PB pulses feature vanishing wings on both sides of the central region around the target transition probability, and the PB pulses offer also a flat (broadband) top around the target probability. The NB sequences are particularly suitable for sensing and metrology applications, while the PB sequences can be very useful for qubit control in the case of tightly spaced qubits for they ensure both selectivity (suppressed cross talk to neighbors) and robustness (suppressed laser pointing instability). Other possible applications include selective (NB), or both selective and robust (PB), control of close transitions in frequency space.

6 pages, 3 figures

References in corpus (28)

• Quantum computing with trapped ions
• Training Schrödinger's cat: quantum optimal control
• Realization of the quantum Toffoli gate with trapped ions
• Experimental fault-tolerant universal quantum gates with solid-state spins under ambient conditions
• 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
• Composite-pulse magnetometry with a solid-state quantum sensor
• Composite pulses for interferometry in a thermal cold atom cloud
• Composite stimulated Raman adiabatic passage
• 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
• Randomized benchmarking of barrier versus tilt control of a singlet-triplet qubit
• Accurate Microwave Control and Real-Time Diagnostics of Neutral Atom Qubits
• Spatially uniform single-qubit gate operations with near-field microwaves and composite pulse compensation
• Neural-network-designed pulse sequences for robust control of singlet-triplet qubits
• Dynamically corrected gates for an exchange-only qubit
• Experimental demonstration of composite stimulated Raman adiabatic passage
• Efficient and robust chiral resolution by composite pulses
• Arbitrarily accurate variable rotations on the Bloch sphere by composite pulse sequences
• Composite pulses for high-fidelity population inversion in optically dense, inhomogeneously broadened atomic ensembles
• Composite pulses with errant phases
• Arbitrarily accurate twin composite $\pi$ pulse sequences
• Robust optomechanical state transfer under composite phase driving

Cited by in corpus (9)

• Robust single-qubit gates by composite pulses in three-level systems
• Ultrahigh-fidelity composite rotational quantum gates
• Robust population inversion in three-level systems by composite pulses
• Composite pulses for high fidelity population transfer in three-level systems
• Robust two-state swap by stimulated Raman adiabatic passage
• Three-state coherent control using narrowband and passband sequences
• Ultrahigh-fidelity composite quantum phase gates
• General, efficient, and robust Hamiltonian engineering
• Ultrabroadband, ultranarrowband and ultrapassband composite polarisation half-wave plates, ultrabroadband composite polarisation pi-rotators and on the quantum-classical analogy