Experimental quantum channel discrimination using metastable states of a trapped ion

Abstract

We present experimental demonstrations of accurate and unambiguous single-shot discrimination between three quantum channels using a single trapped ${}^{40}{\text{Ca}}^{+}$ ion. The three channels cannot be distinguished unambiguously using repeated single channel queries, the natural classical analogue. We develop techniques for using the 6-dimensional ${\text{D}}_{5/2}$ state space for quantum information processing, and we implement protocols to discriminate quantum channel analogues of phase shift keying and amplitude shift keying data encodings used in classical radio communication. The demonstrations achieve discrimination accuracy exceeding $99\%$ in each case, limited entirely by known experimental imperfections.

Main text: 6 pages, 4 figures. Supplementary Material: 7 pages, 5 figures, 2 tables Fixed a reference and updated publication information

References in corpus (47)

• Quantum Cryptography
• Advances in Quantum Cryptography
• Hamiltonian Simulation by Qubitization
• Optimal Hamiltonian Simulation by Quantum Signal Processing
• High-fidelity preparation, gates, memory and readout of a trapped-ion quantum bit
• Quantum State Discrimination
• Quantum state engineering on an optical transition and decoherence in a Paul trap
• Unambiguous Discrimination Between Linearly-Independent Quantum States
• A universal qudit quantum processor with trapped ions
• Extending Quantum Coherence in Diamond
• Quantum state discrimination and its applications
• Single ion-qubit exceeding one hour coherence time
• Statistical distinguishability between unitary operations
• Using entanglement improves precision of quantum measurements
• Soundness and completeness of quantum root-mean-square errors
• Digital Communication with Rydberg Atoms & Amplitude-Modulated Microwave Fields
• Experimental multiparticle entanglement dynamics induced by decoherence
• Assessment of Rydberg Atoms for Wideband Electric Field Sensing
• Experimental Demonstration of Optimal Unambiguous State Discrimination
• Hardware efficient quantum simulation of non-abelian gauge theories with qudits on Rydberg platforms
• The Perfect Distinguishability of Quantum Operations
• Entanglement Is Not Necessary for Perfect Discrimination between Unitary Operations
• A long-lived Zeeman trapped-ion qubit
• Practical trapped-ion protocols for universal qudit-based quantum computing
• Native qudit entanglement in a trapped ion quantum processor
• Experimental realization of optimal detection strategies for overcomplete states
• $\text{omg}$ Blueprint for trapped ion quantum computing with metastable states
• High fidelity manipulation of a qubit built from a synthetic nucleus
• High Fidelity Single-qubit Gates of a Single Neutral Atom in the Magic-Intensity Optical Dipole Trap
• Experimental minimum-error quantum-state discrimination in high dimensions
• Realizing coherently convertible dual-type qubits with the same ion species
• Minimum-error discrimination between subsets of linearly dependent quantum states
• Ultimate limits for multiple quantum channel discrimination
• Loading of a surface-electrode ion trap from a remote, precooled source
• Scalable Loading of a Two-Dimensional Trapped-Ion Array
• Dual-Species, Multi-Qubit Logic Primitives for Ca+/Sr+ Trapped-Ion Crystals
• Distinguishing between non-orthogonal quantum states of a single spin
• Demonstration of a quantum logic gate in a cryogenic surface-electrode ion trap
• Experimental recovery of a qubit from partial collapse
• Experimental quantum reading with photon counting
• Experimental Quantum Process Discrimination
• Squeezing-enhanced phase-shift-keyed binary communication in noisy channels
• Universal quantum control in irreducible state-space sectors: application to bosonic and spin-boson systems
• Synthesizing a ${\hat{\sigma }}_z$ spin-dependent force for optical, metastable, and ground state trapped-ion qubits
• Linear-Optical Implementation of Perfect Discrimination between Single-bit Unitary Operations
• Generalized quantum process discrimination problems
• Quantum Hypothesis Testing with Group Structure

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