Suppressing Amplitude Damping in Trapped Ions: Discrete Weak Measurements for a Non-unitary Probabilistic Noise Filter

Abstract

The idea of exploiting maximally-entangled states as a resource lies at the core of several modalities of quantum information processing, including secure quantum communication, quantum computation, and quantum sensing. However, due to imperfections during or after the entangling gates used to prepare such states, the amount of entanglement decreases and their quality as a resource gets degraded. We introduce a low-overhead protocol to reverse this degradation by partially filtering out a specific type of noise relevant to many quantum technologies. We present two trapped-ion schemes for the implementation of a non-unitary probabilistic filter against amplitude damping noise, which can protect any maximally-entangled pair from spontaneous photon scattering during or after the two-qubit trapped-ion entangling gates. This filter can be understood as a protocol for single-copy quasi-distillation, as it uses only local operations to realise a reversal operation that can be understood in terms of weak measurements.

arXiv comment16 pages and 6 Figures

References in corpus (69)

• Quantum entanglement
• Quantum sensing
• Quantum Computing
• Concentrating Partial Entanglement by Local Operations
• Purification of Noisy Entanglement and Faithful Teleportation via Noisy Channels
• Quantum Communication
• Decoherence Free Subspaces for Quantum Computation
• Dynamical suppression of decoherence in two-state quantum systems
• Experimental issues in coherent quantum-state manipulation of trapped atomic ions
• Random Numbers Certified by Bell's Theorem
• Quantum Error Correction for Quantum Memories
• Quantum computation with ions in thermal motion
• Multi-particle entanglement of hot trapped ions
• Reliable Quantum Computers
• Entanglement and quantum computation with ions in thermal motion
• High-fidelity quantum logic gates using trapped-ion hyperfine qubits
• High-fidelity two-qubit quantum logic gates using trapped calcium-43 ions
• Bell Inequalities and the Separability Criterion
• A simple formula for the average gate fidelity of a quantum dynamical operation
• Realizing Repeated Quantum Error Correction in a Distance-Three Surface Code
• Quantum dynamics of cold trapped ions, with application to quantum computation
• High-Fidelity Universal Gate Set for ${}^9$Be${}^{+}$ Ion Qubits
• Experimental Quantum Computations on a Topologically Encoded Qubit
• Bell inequality violation with two remote atomic qubits
• Quantum Error Correction: An Introductory Guide
• A quantum information processor with trapped ions
• Resilient Quantum Computation: Error Models and Thresholds
• Realization of an Error-Correcting Surface Code with Superconducting Qubits
• Entanglement purification and quantum error correction
• Modular Entanglement of Atomic Qubits using both Photons and Phonons
• Nonperturbative theory of weak pre- and post-selected measurements
• Demonstration of fault-tolerant universal quantum gate operations
• High-rate, high-fidelity entanglement of qubits across an elementary quantum network
• Telecom-heralded entanglement between remote multimode solid-state quantum memories
• Open-System Dynamics of Entanglement
• Entanglement Detection in the Stabilizer Formalism
• Uncollapsing of a quantum state in a superconducting phase qubit
• Undoing a weak quantum measurement of a solid-state qubit
• Experimental Realization of Entanglement Concentration and A Quantum Repeater
• Approximate quantum error correction can lead to better codes
• Analysis of imperfections in the coherent optical excitation of single atoms to Rydberg states
• Reversing the Weak Quantum Measurement for a Photonic Qubit
• Local filtering operations on two qubits
• Errors in trapped-ion quantum gates due to spontaneous photon scattering
• High-Fidelity Bell-State Preparation with ${}^{40}$Ca${}^{+}$ Optical Qubits
• Assessing the progress of trapped-ion processors towards fault-tolerant quantum computation
• Experimental demonstration of decoherence suppression via quantum measurement reversal
• Purifying noisy entanglement requires collective measurements
• Symmetric Rydberg controlled-Z gates with adiabatic pulses
• Entangled Mixed States and Local Purification
• Heralded entanglement of two ions in an optical cavity
• Nonvolatile quantum memory enables sensor unlimited nanoscale spectroscopy of finite quantum systems
• Dissipation-Assisted Quantum Information Processing with Trapped Ions
• Dual-Species, Multi-Qubit Logic Primitives for Ca+/Sr+ Trapped-Ion Crystals
• Tutorial: The trapped-ion qubit toolbox
• Quantum harmonic oscillator state control in a squeezed Fock basis
• Experimental recovery of a qubit from partial collapse
• Defeating entanglement sudden death by a single local filtering
• Lifetime measurement of the metastable 3d 2D5/2 state in the 40Ca+ ion using the shelving technique on a few-ion string
• Multiplexed quantum repeaters based on dual-species trapped-ion systems
• Reducing intrinsic decoherence in a superconducting circuit by quantum error detection
• Entanglement amplification via local weak measurements
• Quantum Gate Fidelity in Terms of Choi Matrices
• Implementation schemes for unsharp measurements with trapped ions
• Efficient and robust certification of genuine multipartite entanglement in noisy quantum error correction circuits
• Protecting quantum entanglement from amplitude damping
• Effect of weak measurement on entanglement distribution over noisy channels
• Certified quantum gates
• Experimental characterization of quantum dynamics through many-body interactions

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