A simplified Mølmer-Sørensen gate for the trapped ion quantum computer

Abstract

We discuss how to simplify the Molmer-Sorensen (MS) gate which is used for the trapped ion quantum computer. The original MS gate is implemented by illuminating two ions with bichromatic coherent light fields separately at the same time. In this paper, we propose a method for transforming a separable state of two ions into one of the Bell states by illuminating the two ions with monochromatic coherent light fields individually and this point is the advantage of our scheme over the original MS gate. The length of the execution time of our proposed gate is comparable to that of the original MS gate, however, numerical calculations show that our proposed gate is weakly sensitive to thermal fluctuations of the phonons. By giving another example of a simple two-ion gate that can generate entanglement but is strongly vulnerable to thermal fluctuations, we show that our simplified MS gate is more marked than usual.

arXiv comment29 pages, 11 figures, latex2e; v2: The title is changed. The contents are completely improved; v3: Figure 2 has been improved; v4: minor corrections

References in corpus (27)

• Quantum Computing in the NISQ era and beyond
• Supplementary information for "Quantum supremacy using a programmable superconducting processor"
• Measurement-based quantum computation with cluster states
• Experimental issues in coherent quantum-state manipulation of trapped atomic ions
• Trapped-Ion Quantum Computing: Progress and Challenges
• Quantum computing with trapped ions
• Quantum computation with ions in thermal motion
• Observation of a Many-Body Dynamical Phase Transition with a 53-Qubit Quantum Simulator
• Multi-particle entanglement of hot trapped ions
• Entanglement and quantum computation with ions in thermal motion
• High-fidelity two-qubit quantum logic gates using trapped calcium-43 ions
• High-fidelity quantum logic gates using trapped-ion hyperfine qubits
• High-fidelity preparation, gates, memory and readout of a trapped-ion quantum bit
• High-Fidelity Universal Gate Set for ${}^9$Be${}^{+}$ Ion Qubits
• A compact ion-trap quantum computing demonstrator
• Observation of Entangled States of a Fully Controlled 20-Qubit System
• High-fidelity readout of trapped-ion qubits
• The Ion Trap Quantum Information Processor
• Single-qubit quantum memory exceeding $10$-minute coherence time
• Parallel Entangling Operations on a Universal Ion Trap Quantum Computer
• High-Fidelity Bell-State Preparation with ${}^{40}$Ca${}^{+}$ Optical Qubits
• Fast quantum gates for cold trapped ions
• Efficient Arbitrary Simultaneously Entangling Gates on a trapped-ion quantum computer
• Fast multi-qubit gates by adiabatic evolution in interacting excited state manifolds
• Measurement of Ion Motional Heating Rates over a Range of Trap Frequencies and Temperatures
• Gate-Controlled Quantum Dots Based on Two-Dimensional Materials
• A Wavelength-Insensitive, Multispecies Entangling Gate for Group-2 Atomic Ions

Cited by in corpus (1)

• Realization and Calibration of Continuously Parameterized Two-Qubit Gates on a Trapped-Ion Quantum Processor