High-fidelity composite quantum gates for Raman qubits

Abstract

We present a general systematic approach to design robust and high-fidelity quantum logic gates with Raman qubits using the technique of composite pulses. We use two mathematical tools -- the Morris-Shore and Majorana decompositions -- to reduce the three-state Raman system to an equivalent two-state system. They allow us to exploit the numerous composite pulses designed for two-state systems by extending them to Raman qubits. We construct the NOT, Hadamard, and rotation gates by means of the Morris-Shore transformation with the same uniform approach: sequences of pulses with the same phases for each gate but different ratios of Raman couplings. The phase gate is constructed by using the Majorana decomposition. All composite Raman gates feature very high fidelity, beyond the quantum computation benchmark values, and significant robustness to experimental errors. All composite phases and pulse areas are given by analytical formulas, which makes the method scalable to any desired accuracy and robustness to errors.

arXiv comment6 pages, 5 figures

References in corpus (35)

• NMR Techniques for Quantum Control and Computation
• Quantum computing with trapped ions
• Realization of the quantum Toffoli gate with trapped ions
• Ion-trap quantum logic using long-wavelength radiation
• Quantum Gates and Memory using Microwave Dressed States
• Experimental fault-tolerant universal quantum gates with solid-state spins under ambient conditions
• 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 ${}^9$Be${}^{+}$ gate
• Composite-pulse magnetometry with a solid-state quantum sensor
• Composite pulses for interferometry in a thermal cold atom cloud
• Simple Manipulation of a Microwave Dressed-State Ion Qubit
• 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
• Designing short robust NOT gates for quantum computation
• 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
• Dynamically corrected gates for an exchange-only qubit
• Generation of high-fidelity quantum control methods for multi-level systems
• Efficient construction of three- and four-qubit quantum gates by global entangling gates
• Experimental demonstration of composite stimulated Raman adiabatic passage
• High-fidelity error-resilient composite phase gates
• Composite two-qubit gates
• Speeding-up the decision making of a learning agent using an ion trap quantum processor
• Composite pulses for high-fidelity population inversion in optically dense, inhomogeneously broadened atomic ensembles
• Universal Composite Pulses for Efficient Population Inversion with an Arbitrary Excitation Profile
• Robust optomechanical state transfer under composite phase driving
• Composite Pulses in N-level Systems with SU(2) Symmetry and their Geometrical Representation on the Majorana Sphere

Cited by in corpus (8)

• Robust single-qubit gates by composite pulses in three-level systems
• Chiral resolution by composite Raman pulses
• Robust population inversion in three-level systems by composite pulses
• Supervised learning for robust quantum control in composite-pulse systems
• Composite pulses for high fidelity population transfer in three-level systems
• Three-state coherent control using narrowband and passband sequences
• Segmented Composite Design of Robust Single-Qubit Quantum Gates
• Fast and robust production of quantum superposition states by the fractional shortcut to adiabaticity