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- Gennady P. Berman, Fausto Borgonovi, F. M. Izrailev, Vladimir I. Tsifrinovich
- Physical review. E, Statistical, nonlinear, and…
- 2002

We study a one-dimensional chain of nuclear 1/2 spins in an external time-dependent magnetic field, considered as a possible candidate for experimental realization of quantum computation. According to the general theory of interacting particles, one of the most dangerous effects is quantum chaos that can destroy the stability of quantum operations. The… (More)

- Gennady P. Berman, Geoff W. Brown, Marilyn E Hawley, Vladimir I. Tsifrinovich
- Physical review letters
- 2001

We propose a solid-state nuclear-spin quantum computer based on application of scanning tunneling microscopy (STM) and well-developed silicon technology. It requires the measurement of tunneling-current modulation caused by the Larmor precession of a single electron spin. Our envisioned STM quantum computer would operate at the high magnetic field… (More)

- Gennady P. Berman, Gary D. Doolen, Peter Hammel, Vladimir I. Tsifrinovich
- Physical review letters
- 2001

We propose a magnetic resonance force microscopy (MRFM)-based nuclear spin quantum computer using tellurium impurities in silicon. This approach to quantum computing combines well-developed silicon technology and expected advances in MRFM. Our proposal does not use electrostatic gates to realize quantum logic operations.

When dealing with macroscopic objects one usually observes quasiclassical phenomena, which can be described in terms of quasiclassical (or classical) equations of motion. Recent development of the theory of quantum computation is based on implementation of the entangled states which do not have a classical analogy. Using a simple example of a paramagnetic… (More)

- Gennady P. Berman, Fausto Borgonovi, F. M. Izrailev, Vladimir I. Tsifrinovich
- Physical review. E, Statistical, nonlinear, and…
- 2001

We study the properties of spectra and eigenfunctions for a chain of 1/2 spins (qubits) in an external time-dependent magnetic field and under the conditions of nonselective excitation (when the amplitude of the magnetic field is large). This model is known as a possible candidate for experimental realization of quantum computation. We present the theory… (More)

We propose a nuclear spin quantum computer based on magnetic resonance force microscopy (MRFM). It is shown that an MRFM single-electron spin measurement provides three essetial requirements for quantum computation in solids: (a) preparation of the ground state, (b) oneand twoqubit quantum logic gates, and (c) a measurement of the final state. The proposed… (More)

- Richard B. Kassman, Gennady P. Berman, Vladimir I. Tsifrinovich, Gustavo V. López
- Quantum Information Processing
- 2002

We study the effects of wave function collapses in the oscillating cantilever driven adiabatic reversals (OSCAR) magnetic resonance force microscopy (MRFM) technique. The quantum dynamics of the cantilever tip (CT) and the spin is analyzed and simulated taking into account the magnetic noise on the spin. The deviation of the spin from the direction of the… (More)

In this paper, we discuss the dynamical issues of quantum computation. We demonstrate that fast wave function oscillations can affect the performance of Shor’s quantum algorithm by destroying required quantum interference. We also show that this destructive effect can be routinely avoided by using resonant-pulse techniques. We discuss the dynamics of… (More)

We study numerically the influence of non-resonant effects on the dynamics of a single π-pulse quantum CONTROL-NOT (CN) gate in a macroscopic ensemble of four-spin molecules at room temperature. The four nuclear spins in each molecule represent a four-qubit register. The qubits are “labeled” by the characteristic frequencies, ωk, (k = 0 to 3) due to the… (More)