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Physical Review A

Nondestructive Rydberg parity meter and its applications

Shi‐Lei Su, F.-Q. Guo, L. Tian, Xiaoyu Zhu, L.-L. Yan, Erjun Liang, Mang Feng

Published Jan 30, 2020• 68 citations
Publisher

Abstract

Parity meters, utilized to distinguish bipartite quantum states with even or odd parity, have many applications in quantum information processing. We propose a potentially practical scheme to construct the nondestructive Rydberg parity meter (NRPM) in ground-state subspace using Rydberg atoms. Based on the proposed NRPM, the parity of the qubit atoms could be known in a deterministic and nondestructive way, implying that the output state of the NRPM can be further used in the rest of the process for quantum information tasks. In addition, we study the applications of the proposed NRPM in entangled state fusion, entangled state analysis, and quantum teleportation, as well as quantum logic gate in a decoherence-free subspace regarding collective-dephasing errors. We analyze the performance of the NRPM under the influence of decoherence and consider more general situations for the feasibility of the scheme.

DOI
10.1103/physreva.101.012347

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Parity meters, utilized to distinguish bipartite quantum states with even or odd parity, have many applications in quantum information processing. We propose a potentially practical scheme to construct the nondestructive Rydberg parity meter (NRPM) in ground-state subspace using Rydberg atoms. Based on the proposed NRPM, the parity of the qubit atoms could be known in a deterministic and nondestructive way, implying that the output state of the NRPM can be further used in the rest of the process for quantum information tasks. In addition, we study the applications of the proposed NRPM in entangled state fusion, entangled state analysis, and quantum teleportation, as well as quantum logic gate in a decoherence-free subspace regarding collective-dephasing errors. We analyze the performance of the NRPM under the influence of decoherence and consider more general situations for the feasibility of the scheme.
In this paper, we propose a robust and high-fidelity scheme to construct a nondestructive Rydberg parity meter by optimized inverse engineering, after which we can know the parity information of the bipartite state without destroying it, implying that the output bipartite state can be further used in the rest quantum information processing tasks. Specifically speaking, we build a model with two systematic Rydberg atoms and one auxiliary Rydberg atom and control them by utilizing optimized inverse engineering against systematic error. Also, since the accumulated time for the Rydberg atoms simultaneously being in Rydberg states is minimized, the mechanical effect and the further possible ionization are almost avoided. Moreover, numerical simulation shows that the present scheme is robust against the systematic error, the dephasing, and the thermal noise, demonstrating feasibility in the experiment.
Abstract Parity meter is the core step of many quantum information works. In this paper, a robust and accurate protocol to construct a parity meter of two artificial atoms coupled to a cavity is proposed. Specifically, when the atomic system is in states with different parities, the cavity will evolve into different states. Then, the parity information of the atomic system can be distinguished by measuring the state of the cavity via the homodyne measurement. In addition, the influence of decoherence (including the cavity decay, the atomic spontaneous emission, and the dephasing) and systematic errors are numerically discussed. The results show that the protocol is robust against these negative factors. Therefore, this protocol may provide helpful perspectives for accurate parity meters.
Practical application of quantum information requires distinguishing multipartite entanglement in a complete, nondestructive, and robust way. Here we explore the possibility to accomplish such a task using Rydberg atoms based on blockade effect and user-defined-passage-based geometric quantum logic gates. Our proposal focuses on distinguishing groups of many-body Greenberger-Horne-Zeilinger (GHZ) states and groups of cluster states, and for bipartite cases distinguishing Bell states, which are basic ingredients of quantum information processing. We validate our proposal by numerical results, showing complete and nondestructive accomplishment of distinguishing above multipartite entangled states and also robustness against decoherence. We exemplify two practical applications regarding quantum teleportation and quantum dense coding to demonstrate the value of our proposal. This idea is scalable and experimentally relevant and can be readily generalized to other quantum information candidates, such as superconducting circuits, NV centers, as well as trapped-ion systems with different-level structures.
We propose a parity-controlled gate within a two-dimensional Rydberg atom array, enabling efficient discrimination between even and odd parities of virtually excited control atoms by monitoring the dynamic evolution of an auxiliary atom. This is achieved through the use of spin-exchange dipolar interactions between Rydberg states and coupling between ground states and Rydberg states. For practical applications, we explore its implementation in three-qubit repetition codes and rotated surface codes featuring XZZXXZZXXZZX stabilizers, enabling single-shot readout of stabilizer measurements. Comprehensive numerical simulations are conducted to assess the feasibility of the proposed approach, taking into account potential experimental imperfections such as unwanted interactions between Rydberg states, atomic position fluctuations, laser phase noise, and Rabi amplitude noise. Our study highlights the inherent advantages of the physical mechanisms underlying parity measurement, demonstrating its reliability and practicality. These findings establish our protocol as a highly promising solution for quantum error detection and computation within Rydberg atom systems, with significant potential for future experimental realizations.
Abstract In this paper, a robust and accurate protocol is proposed to realize nondestructive parity measurement of artificial atoms using a superconducting resonator and homodyne measurement. With the help of an additional microwave driving field, the cavity field evolves into a coherent state or remains in a vacuum state according to the parity of the atoms. Consequently, the parity information of atoms can be read out by a homodyne measurement on the cavity. Parity information can be obtained without destroying the original state of the system, which means that the state can be further applied to other quantum information processing tasks after a parity measurement. The numerical simulation results show that the protocol is robust against systematic error, random noise, and decoherence. Therefore, this protocol can provide a feasible viewpoint for nondestructive parity measurement.
A parity meter projects the state of two qubits onto two subspaces with different parities, the states in each parity class being indistinguishable. It has application in quantum information for its entanglement properties. In our work we consider the electronic Mach-Zehnder interferometer (MZI) coupled capacitively to two double quantum dots (DQDs), one on each arm of the MZI. These charge qubits couple linearly to the charge in the arms of the MZI. A key advantage of an MZI is that the qubits are well separated in distance so that mutual interaction between them is avoided. Assuming equal coupling between both DQDs and the arms and the same bias for each DQD, this setup usually detects three different currents, one for the odd states and two for each even state. Controlling the magnetic flux of the MZI, we can operate the MZI as a parity meter: only two currents are measured at the output, one for each parity class. In this configuration, the MZI acts as an ideal detector, its Heisenberg efficiency being maximal. Initially unentangled DQDs become entangled through the parity measurement process with probability one and for a class of initial states our parity meter deterministically generates Bell states.