Heralded atomic nonadiabatic holonomic quantum computation with Rydberg blockade

• URL: http://arxiv.org/abs/2008.03059v1
• Date: Fri, 7 Aug 2020 09:38:57 GMT
• Title: Heralded atomic nonadiabatic holonomic quantum computation with Rydberg blockade
• Authors: Yi-Hao Kang, Zhi-Cheng Shi, Jie Song, and Yan Xia
• Abstract summary: We propose a protocol to realize atomic nonadiabatic holonomic quantum computation (NHQC) with two computational atoms and an auxiliary atom. Dynamics of the system is analyzed in the regime of Rydberg blockade, and robust laser pulses are designed via reverse engineering.
• Score: 8.87698945077745
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We propose a protocol to realize atomic nonadiabatic holonomic quantum computation (NHQC) with two computational atoms and an auxiliary atom. Dynamics of the system is analyzed in the regime of Rydberg blockade, and robust laser pulses are designed via reverse engineering, so that quantum gates can be easily realized with high fidelities. In addition, we also study the evolution suffering from dissipation with a master equation. The result indicates that decays of atoms can be heralded by measuring the state of the auxiliary atom, and nearly perfect unitary evolution can be obtained if the auxiliary atom remains in its Rydberg state. Therefore, the protocol may be helpful to realize NHQC in dissipative environment.

Related papers

• Quantum Homogenization as a Quantum Steady State Protocol on NISQ Hardware [42.52549987351643]
  Quantum homogenization is a reservoir-based quantum state approximation protocol. We extend the standard quantum homogenization protocol to the dynamically-equivalent ($mathttSWAP$)$alpha$ formulation. We show that our proposed protocol yields a completely positive, trace preserving (CPTP) map under which the code subspace is correctable.
  arXiv  Detail & Related papers  (2024-12-19T05:50:54Z)
• Demonstrating experimentally the encoding and dynamics of an error-correctable logical qubit on a hyperfine-coupled nuclear spin qudit [4.720777561985926]
  High-dimensional quantum systems offer more hardware-efficient protocols than qubit-based approaches. We implement a logical qubit encoded on the four states of a nuclear spin hyperfine-coupled to a S=1/2 electron spin qubit. Our results confirm the potential of these proposals for practical, implementable, fault tolerant quantum memories.
  arXiv  Detail & Related papers  (2024-05-31T14:19:57Z)
• Quantum Computation Using Large Spin Qudits [0.0]
  dissertation explores quantum computation using qudits encoded into large spins. First, we delve into the generation of high-fidelity universal gate sets for quantum computation with qudits. Next, we analyze schemes to encode a qubit in the large spin qudits for fault-tolerant quantum computation.
  arXiv  Detail & Related papers  (2024-05-13T16:19:31Z)
• Strongly subradiant states in planar atomic arrays [39.58317527488534]
  We study collective dipolar oscillations in finite planar arrays of quantum emitters in free space. We show that the external coupling between the collective states associated with the symmetry of the array and with the quasi-flat dispersion of the corresponding infinite lattice plays a crucial role in the boost of their radiative lifetime.
  arXiv  Detail & Related papers  (2023-10-10T17:06:19Z)
• Quantum Gate Optimization for Rydberg Architectures in the Weak-Coupling Limit [55.05109484230879]
  We demonstrate machine learning assisted design of a two-qubit gate in a Rydberg tweezer system. We generate optimal pulse sequences that implement a CNOT gate with high fidelity. We show that local control of single qubit operations is sufficient for performing quantum computation on a large array of atoms.
  arXiv  Detail & Related papers  (2023-06-14T18:24:51Z)
• Quantum process tomography of continuous-variable gates using coherent states [49.299443295581064]
  We demonstrate the use of coherent-state quantum process tomography (csQPT) for a bosonic-mode superconducting circuit. We show results for this method by characterizing a logical quantum gate constructed using displacement and SNAP operations on an encoded qubit.
  arXiv  Detail & Related papers  (2023-03-02T18:08:08Z)
• Optimized nonadiabatic holonomic quantum computation based on F\"orster resonance in Rydberg atoms [8.786217209800547]
  Scheme is based on F"orster resonance induced by strong dipole-dipole interaction between two Rydberg atoms. For improving the fidelity of the scheme, the optimal control method is introduced to enhance the gate robustness.
  arXiv  Detail & Related papers  (2021-07-30T08:25:42Z)
• Hardware-Efficient, Fault-Tolerant Quantum Computation with Rydberg Atoms [55.41644538483948]
  We provide the first complete characterization of sources of error in a neutral-atom quantum computer. We develop a novel and distinctly efficient method to address the most important errors associated with the decay of atomic qubits to states outside of the computational subspace. Our protocols can be implemented in the near-term using state-of-the-art neutral atom platforms with qubits encoded in both alkali and alkaline-earth atoms.
  arXiv  Detail & Related papers  (2021-05-27T23:29:53Z)
• Universal quantum computation and quantum error correction with ultracold atomic mixtures [47.187609203210705]
  We propose a mixture of two ultracold atomic species as a platform for universal quantum computation with long-range entangling gates. One atomic species realizes localized collective spins of tunable length, which form the fundamental unit of information. We discuss a finite-dimensional version of the Gottesman-Kitaev-Preskill code to protect quantum information encoded in the collective spins.
  arXiv  Detail & Related papers  (2020-10-29T20:17:14Z)
• Optimized Geometric Quantum Computation with mesoscopic ensemble of Rydberg Atoms [1.3124513975412255]
  We propose a nonadiabatic non-Abelian geometric quantum operation scheme to realize universal quantum computation with Rydberg atoms. We demonstrate theoretically that both the single qubit and two-qubit quantum gates can achieve high fidelities around or above 99.9% in ideal situations. Our numerical simulations show that the average fidelity could be 99.98% for single ensemble qubit gate and 99.94% for two-qubit gate even when the Rabi frequency of the gate laser acquires 10% fluctuations.
  arXiv  Detail & Related papers  (2020-09-08T13:11:22Z)
• Gate-free state preparation for fast variational quantum eigensolver simulations: ctrl-VQE [0.0]
  VQE is currently the flagship algorithm for solving electronic structure problems on near-term quantum computers. We propose an alternative algorithm where the quantum circuit used for state preparation is removed entirely and replaced by a quantum control routine. As with VQE, the objective function optimized is the expectation value of the qubit-mapped molecular Hamiltonian.
  arXiv  Detail & Related papers  (2020-08-10T17:53:09Z)
• High-Fidelity Entanglement and Detection of Alkaline-Earth Rydberg Atoms [48.093689931392866]
  Controlled two-qubit entanglement generation has so far been limited to alkali species. We demonstrate a novel approach utilizing the two-valence electron structure of individual alkaline-earth Rydberg atoms. We find fidelities for Rydberg state detection, single-atom Rabi operations, and two-atom entanglement surpassing previously published values.
  arXiv  Detail & Related papers  (2020-01-13T18:42:42Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.