Fast and robust quantum computation with ionic Wigner crystals

Journal Article · Fri Apr 15 00:00:00 EDT 2011 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.83.042319· OSTI ID:21544586

Baltrusch, J D ^[1]; Negretti, A ^[1]; Taylor, J M ^[2]; Calarco, T ^[1]

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1. Institute for Quantum Information Processing, University of Ulm, Albert-Einstein-Allee 11, D-89069 Ulm (Germany)
2. Joint Quantum Institute and the National Institute of Standards and Technology, College Park, Maryland 20742 (United States)

We present a detailed analysis of the modulated-carrier quantum phase gate implemented with Wigner crystals of ions confined in Penning traps. We elaborate on a recent scheme, proposed by two of the authors, to engineer two-body interactions between ions in such crystals. We analyze the situation in which the cyclotron ({omega}{sub c}) and the crystal rotation ({omega}{sub r}) frequencies do not fulfill the condition {omega}{sub c}=2{omega}{sub r}. It is shown that even in the presence of the magnetic field in the rotating frame the many-body (classical) Hamiltonian describing small oscillations from the ion equilibrium positions can be recast in canonical form. As a consequence, we are able to demonstrate that fast and robust two-qubit gates are achievable within the current experimental limitations. Moreover, we describe a realization of the state-dependent sign-changing dipole forces needed to realize the investigated quantum computing scheme.

• OSTI ID: 21544586
• Journal Information: Physical Review. A, Vol. 83, Issue 4; Other Information: DOI: 10.1103/PhysRevA.83.042319; (c) 2011 American Institute of Physics; ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
CARRIERS
DIPOLES
HAMILTONIANS
INTERACTIONS
IONIC CRYSTALS
IONS
MAGNETIC FIELDS
OSCILLATIONS
PENNING ION SOURCES
QUANTUM COMPUTERS
QUBITS
ROTATION
TRAPPING
TWO-BODY PROBLEM
CHARGED PARTICLES
COMPUTERS
CRYSTALS
INFORMATION
ION SOURCES
MANY-BODY PROBLEM
MATHEMATICAL OPERATORS
MOTION
MULTIPOLES
QUANTUM INFORMATION
QUANTUM OPERATORS