Entanglement dynamics via Geometric phases in Trapped-ions

Abstract

Trapped-ion systems are a leading platform for quantum computing. The Mølmer-Sørensen (MS) gate is a widely used method for implementing controlled interactions in multipartite systems. However, due to unavoidable interactions with the environment, quantum states undergo non-unitary evolution, leading to significant deviations from ideal dynamics. Common techniques such as Quantum Process Tomography (QPT) and Bell State Tomography (BST) are typically employed to evaluate MS gate performance and to characterize noise in the system. In this letter, we propose leveraging the geometric phase as a tool for performance assessment and noise identification in the MS gate. Our findings indicate that the geometric phase is particularly sensitive to environmental noise occurring around twice the clock pulse time. Given that geometric phase measurements do not require full-state tomography, this approach offers a practical and experimentally feasible method to detect entanglement and classify the nature of noise affecting the system.

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References in corpus (23)

• Quantum entanglement
• A computable measure of entanglement
• QuTiP 2: A Python framework for the dynamics of open quantum systems
• QuTiP: An open-source Python framework for the dynamics of open quantum systems
• Quantum computation with ions in thermal motion
• 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 Universal Gate Set for ${}^9$Be${}^{+}$ Ion Qubits
• Observation of Berry's Phase in a Solid State Qubit
• Kinematic approach to the mixed state geometric phase in nonunitary evolution
• Exploring the Effect of Noise on the Berry Phase
• Geometric phases in open systems: an exact model to study how they are corrected by decoherence
• Geometric Phase of a qubit interacting with a squeezed-thermal bath
• Quantum properties and dynamics of X states
• Nonunitary geometric phases: a qubit coupled to an environment with random noise
• Non-Markovian effect on the geometric phase of a dissipative qubit
• Geometric phase in dephasing systems
• Geometric phases in superconducting qubits beyond the two-level-approximation
• Geometric phase in a dissipative Jaynes-Cummings model: theoretical explanation for resonance robustness
• Quantum process tomography of a Mølmer-Sørensen gate via a global beam
• Geometric Phase in Entangled Bipartite Systems
• Geometric phase gates in dissipative quantum dynamics