Generation of complete graph states in a spin-$1/2$ Heisenberg chain with a globally optimized magnetic field

• URL: http://arxiv.org/abs/2401.01986v3
• Date: Mon, 11 Mar 2024 21:35:55 GMT
• Title: Generation of complete graph states in a spin-$1/2$ Heisenberg chain with a globally optimized magnetic field
• Authors: X. X. Li, D. X. Li, X. Q. Shao
• Abstract summary: We introduce a method for generating multiparticle complete graph states using a spin$1/2$ Heisenberg $XX$ chain subjected to a time-varying magnetic field. Our scheme relies exclusively on nearest-neighbor interactions between atoms, with real-time magnetic field formation facilitated by quantum optimal control theory.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Graph states possess significant practical value in measurement-based quantum computation, with complete graph states that exhibit exceptional performance in quantum metrology. In this work, we introduce a method for generating multiparticle complete graph states using a spin-$1/2$ Heisenberg $XX$ chain subjected to a time-varying magnetic field, which applies to a wide range of systems. Our scheme relies exclusively on nearest-neighbor interactions between atoms, with real-time magnetic field formation facilitated by quantum optimal control theory. We focus specifically on neutral-atom systems, finding that multiparticle complete graph states with $N=3\sim6$ can be achieved in less than $0.25~\mu{\rm s}$, utilizing a hopping amplitude of ${J}/{(2\pi)} = -2.443~{\rm MHz}$. This assumes an initial state provided by an equal-weight superposition of all spin states that are encoded by the dipolar interacting Rydberg states. Additionally, we thoroughly address various experimental imperfections and showcase the robustness of our approach against atomic vibrations, fluctuations in pulse amplitude, and spontaneous emission of Rydberg states. Considering the common occurrence of disturbances in experimental setups of neutral-atom systems, our one-step strategy for achieving such graph states emerges as a more empirically viable alternative to techniques based on controlled-Z gates.

Related papers

• Optimizing random local Hamiltonians by dissipation [44.99833362998488]
  We prove that a simplified quantum Gibbs sampling algorithm achieves a $Omega(frac1k)$-fraction approximation of the optimum. Our results suggest that finding low-energy states for sparsified (quasi)local spin and fermionic models is quantumly easy but classically nontrivial.
  arXiv  Detail & Related papers  (2024-11-04T20:21:16Z)
• Gapped and gapless quantum spin liquids on the ruby lattice [0.0]
  We present a total of 50 U$bbZ(1) and 182 distinct states of ruby spin on mean-consistent structures. We also obtain a total of 64 anti-respecting space-group theories of spin on mean-consistent structures.
  arXiv  Detail & Related papers  (2024-09-24T18:00:00Z)
• Quantum State Transfer in a Magnetic Atoms Chain Using a Scanning Tunneling Microscope [44.99833362998488]
  The electric control of quantum spin chains has been an outstanding goal for the few last years due to its potential use in technologies related to quantum information processing. We show the feasibility of the different steps necessary to perform controlled quantum state transfer in a $S=1/2$ titanium atoms chain employing the electric field produced by a Scanning Tunneling Microscope (STM)
  arXiv  Detail & Related papers  (2024-08-13T14:45:46Z)
• Scattering Neutrinos, Spin Models, and Permutations [42.642008092347986]
  We consider a class of Heisenberg all-to-all coupled spin models inspired by neutrino interactions in a supernova with $N$ degrees of freedom. These models are characterized by a coupling matrix that is relatively simple in the sense that there are only a few, relative to $N$, non-trivial eigenvalues.
  arXiv  Detail & Related papers  (2024-06-26T18:27:15Z)
• Towards the "puzzle" of Chromium dimer Cr$_2$: predicting the Born-Oppenheimer rovibrational spectrum [44.99833362998488]
  This paper calculates the potential energy curve for the state $X1Sigma+$ of the Cr$$$ dimer. It is found for the first time for the whole range of internuclear distances $R$.
  arXiv  Detail & Related papers  (2024-01-06T17:00:12Z)
• Beyond transcoherent states: Field states for effecting optimal coherent rotations on single or multiple qubits [0.0]
  We introduce field states that transform an atom from its ground or excited state to any point on the Bloch sphere without residual atom-field entanglement. The best strong pulses for carrying out rotations by angle $theta$ are are squeezed in photon-number variance by a factor of $rmsinctheta$. We extend these investigations to fields interacting with multiple atoms simultaneously, discovering once again that number squeezing by $tfracpi2$ is optimal for enacting $tfracpi2$ pulses on all of the atoms simultaneously.
  arXiv  Detail & Related papers  (2022-10-21T18:00:05Z)
• Coherent dynamics in a five-level atomic system [62.997667081978825]
  coherent control of multi-partite quantum systems is one of the central prerequisites in quantum information processing. Laser-cooled neon atoms in the metastable state of state $1s2 2s2 2p5 3s$ are prepared. Coherence properties of the prepared states are studied using Ramsey and spin echo measurements.
  arXiv  Detail & Related papers  (2022-10-21T11:44:15Z)
• Multipartite entangled states in dipolar quantum simulators [0.0]
  We show that the native Hamiltonian dynamics of state-of-the-art quantum simulation platforms can act as a robust source of multipartite entanglement. Our results suggest that the native Hamiltonian dynamics of state-of-the-art quantum simulation platforms, such as Rydberg-atom arrays, can act as a robust source of multipartite entanglement.
  arXiv  Detail & Related papers  (2022-05-08T16:23:48Z)
• Partitioning dysprosium's electronic spin to reveal entanglement in non-classical states [55.41644538483948]
  We report on an experimental study of entanglement in dysprosium's electronic spin. Our findings open up the possibility to engineer novel types of entangled atomic ensembles.
  arXiv  Detail & Related papers  (2021-04-29T15:02:22Z)
• Rydberg quantum computation with nuclear spins in two-electron neutral atoms [4.394728504061752]
  Alkaline-earth-like(AEL) atoms with two valence electrons and a nonzero nuclear spin can be excited to Rydberg state for quantum computing. We provide two solutions to this outstanding challenge with realistic data of well-studied AEL isotopes.
  arXiv  Detail & Related papers  (2021-03-25T13:55:04Z)
• Long-range-ordered phase in a quantum Heisenberg chain with interactions beyond nearest neighbors [0.0]
  cavity mediated infinite range interactions can induce fast scrambling in a Heisenberg $XXZ$ spin chain. We analyze the kaleidoscope of quantum phases that emerge in this system from the interplay of these interactions.
  arXiv  Detail & Related papers  (2021-03-07T05:20:52Z)

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.