Controlled quantum-state transfer in a spin chain

doi:10.1103/PHYSREVA.75.032331

Title: Controlled quantum-state transfer in a spin chain

Full Record
Other Related Research

Abstract

Control of the transfer of quantum information encoded in quantum wave packets moving along a spin chain is demonstrated. Specifically, based on a relationship with control in a paradigm of quantum chaos, it is shown that wave packets with slow dispersion can automatically emerge from a class of initial superposition states involving only a few spins, and that arbitrary unspecified traveling wave packets can be nondestructively stopped and later relaunched with perfection. The results establish an interesting application of quantum chaos studies in quantum information science.

Authors:

Gong, Jiangbin ^[1]; Brumer, Paul ^[2]

Department of Physics and Center for Computational Science and Engineering, National University of Singapore, 117542 (Singapore)
Chemical Physics Theory Group and Center for Quantum Information and Quantum Control, University of Toronto, Toronto M5S 3H6 (Canada)

Publication Date:: Thu Mar 15 00:00:00 EDT 2007

OSTI Identifier:: 20982277

Resource Type:: Journal Article

Resource Relation:: Journal Name: Physical Review. A; Journal Volume: 75; Journal Issue: 3; Other Information: DOI: 10.1103/PhysRevA.75.032331; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)

Country of Publication:: United States

Language:: English

Subject:: 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; CHAOS THEORY; COMMUNICATIONS; CONTROL THEORY; INFORMATION THEORY; QUANTUM CRYPTOGRAPHY; QUANTUM INFORMATION; QUANTUM MECHANICS; SPIN; TRAVELLING WAVES; WAVE PACKETS

Citation Formats


                    Gong, Jiangbin, and Brumer, Paul. Controlled quantum-state transfer in a spin chain.  United States: N. p., 2007. 
        Web.  doi:10.1103/PHYSREVA.75.032331.

Copy to clipboard


                    Gong, Jiangbin, & Brumer, Paul. Controlled quantum-state transfer in a spin chain.  United States.  doi:10.1103/PHYSREVA.75.032331.

Copy to clipboard


                    Gong, Jiangbin, and Brumer, Paul. Thu .  
        "Controlled quantum-state transfer in a spin chain".  United States.  
        doi:10.1103/PHYSREVA.75.032331.

Copy to clipboard


                    
@article{osti_20982277,

  title        = {Controlled quantum-state transfer in a spin chain},

  author       = {Gong, Jiangbin and Brumer, Paul},

  abstractNote = {Control of the transfer of quantum information encoded in quantum wave packets moving along a spin chain is demonstrated. Specifically, based on a relationship with control in a paradigm of quantum chaos, it is shown that wave packets with slow dispersion can automatically emerge from a class of initial superposition states involving only a few spins, and that arbitrary unspecified traveling wave packets can be nondestructively stopped and later relaunched with perfection. The results establish an interesting application of quantum chaos studies in quantum information science.},

  doi          = {10.1103/PHYSREVA.75.032331},

  journal      = {Physical Review. A},

  number       = 3,

  volume       = 75,

  place        = {United States},

  year         = {Thu Mar 15 00:00:00 EDT 2007},

  month        = {Thu Mar 15 00:00:00 EDT 2007}

}

Copy to clipboard

Journal Article:

DOI: 10.1103/PHYSREVA.75.032331

Other availability

Find in Google Scholar

Search WorldCat to find libraries that may hold this journal

Save / Share:

Export Metadata

Save to My Library

Similar records in OSTI.GOV collections:

Conclusive and arbitrarily perfect quantum-state transfer using parallel spin-chain channels

Journal Article Burgarth, Daniel ; Bose, Sougato - Physical Review. A

We suggest a protocol for perfect quantum communication through spin-chain channels. By combining a dual-rail encoding with measurements only at the receiving end, we can get conclusively perfect state transfer, whose probability of success can be made arbitrarily close to unity. As an example of such an amplitude-delaying channel, we show how two parallel Heisenberg spin chains can be used as quantum wires. Perfect state transfer with a probability of failure lower than P in a Heisenberg chain of N spin-(1/2) particles can be achieved in a timescale of the order of (0.33({Dirac_h}/2{pi})/J)N{sup 1.7} vertical bar ln P vertical bar.more »« less
DOI: 10.1103/PhysRevA.71.052315
Iterative quantum-state transfer along a chain of nuclear spin qubits

Journal Article Zhang Jingfu ; Rajendran, Nageswaran ; Peng Xinhua ; ... - Physical Review. A

Transferring quantum information between two qubits is a basic requirement for many applications in quantum communication and quantum-information processing. In the iterative quantum-state transfer proposed by Burgarth et al. [Phys. Rev. A 75, 062327 (2007)], this is achieved by a static spin chain and a sequence of gate operations applied only to the receiving end of the chain. The only requirement on the spin chain is that it transfers a finite part of the input amplitude to the end of the chain, where the gate operations accumulate the information. For an appropriate sequence of evolutions and gate operations, the fidelitymore »« less
DOI: 10.1103/PHYSREVA.76.012317
Quantum gates controlled by spin chain soliton excitations

Journal Article Cuccoli, Alessandro, E-mail: cuccoli@fi.infn.it ; Istituto Nazionale di Fisica Nucleare, Sezione di Firenze, I-50019 Sesto Fiorentino ; Nuzzi, Davide ; ... - Journal of Applied Physics

Propagation of soliton-like excitations along spin chains has been proposed as a possible way for transmitting both classical and quantum information between two distant parties with negligible dispersion and dissipation. In this work, a somewhat different use of solitons is considered. Solitons propagating along a spin chain realize an effective magnetic field, well localized in space and time, which can be exploited as a means to manipulate the state of an external spin (i.e., a qubit) that is weakly coupled to the chain. We have investigated different couplings between the qubit and the chain, as well as different soliton shapes,more »« less
DOI: 10.1063/1.4857575
Quantum phase transition of ground-state entanglement in a Heisenberg spin chain simulated in an NMR quantum computer

Journal Article Peng Xinhua ; Suter, Dieter ; Du Jiangfeng ; ... - Physical Review. A

Using an NMR quantum computer, we experimentally simulate the quantum phase transition of a Heisenberg spin chain. The Hamiltonian is generated by a multiple-pulse sequence, the nuclear-spin system is prepared in its (pseudopure) ground state, and the effective Hamiltonian varied in such a way that the Heisenberg chain is taken from a product state to an entangled state, and finally to a different product state.
DOI: 10.1103/PhysRevA.71.012307
High-fidelity state transfer over an unmodulated linear XY spin chain

Journal Article Bishop, C. Allen ; Ou Yongcheng ; Byrd, Mark S. ; ... - Physical Review. A

We provide a class of initial encodings that can be sent with a high fidelity over an unmodulated, linear, XY spin chain. As an example, an average fidelity of 96% can be obtained using an 11-spin encoding to transmit a state over a chain containing 10 000 spins. An analysis of the magnetic-field dependence is given, and conditions for field optimization are provided.
DOI: 10.1103/PHYSREVA.81.042313

Similar Records