Optical implementations, oracle equivalence, and the Bernstein-Vazirani algorithm

Arvind, .; Kaur, Gurpreet; Narang, Geetu

doi:10.1364/josab.24.000221

Cited by 9 publications

(9 citation statements)

References 29 publications

(33 reference statements)

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“…Any three-qubit state up to local unitaries, can hence be written in the form given in Eqn. (4). We base our experimental construction on this canonical form and will henceforth refer to it as the generic three-qubit state.…”

Section: A Generic State Implementationmentioning

confidence: 99%

“…The manipulation of two-qubit states is qualitatively more difficult than that for a single qubit. As a matter of fact, the dynamics of a single qubit finds a classical analog in polarization optics [4], and it is only when we create entangled states of two qubits, do the nontrivial quantum aspects emerge [5]. It may appear that moving from two qubits to several qubits is merely a matter of detail.…”

Section: Introductionmentioning

confidence: 99%

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Experimental construction of generic three-qubit states and their reconstruction from two-party reduced states on an NMR quantum information processor

2015

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We experimentally explore the state space of three qubits on an NMR quantum information processor. We construct a scheme to experimentally realize a canonical form for general threequbit states up to single-qubit unitaries. This form involves a non-trivial combination of GHZ and W-type maximally entangled states of three qubits. The general circuit that we have constructed for the generic state reduces to those for GHZ and W states as special cases. The experimental construction of a generic state is carried out for a nontrivial set of parameters and the good fidelity of preparation is confirmed by complete state tomography. The GHZ and W-states are constructed as special cases of the general experimental scheme. Further, we experimentally demonstrate a curious fact about three-qubit states, where for almost all pure states, the two-qubit reduced states can be used to reconstruct the full three-qubit state. For the case of a generic state and for the Wstate, we demonstrate this method of reconstruction by comparing it with the directly tomographed three-qubit state.

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Section: A Generic State Implementationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Experimental construction of generic three-qubit states and their reconstruction from two-party reduced states on an NMR quantum information processor

2015

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“…It has been shown that it is possible to exploit classical wave interference and superposition techniques to implement algorithms where quantum entanglement is not required (e.g. Deutsch-Jozsa algorithm [28], Grover Search algorithm [29], Bernstein-Vazirani algorithm [30]). The latter gives an intrigue possibility to build a new class of wave-based logic devices with capabilities intermediate between the conventional transistor-based and purely quantum computers.…”

Section: A=f×(2f+λ)≈2λmentioning

confidence: 99%

Non-volatile magnonic logic circuits engineering

Khitun

Wang

2011

Journal of Applied Physics

182

219

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We propose a concept of magnetic logic circuits engineering, which takes an advantage of magnetization as a computational state variable and exploits spin waves for information transmission. The circuits consist of magneto-electric cells connected via spin wave buses. We present the result of numerical modeling showing the magnetoelectric cell switching as a function of the amplitude as well as the phase of the spin wave. The phase-dependent switching makes it possible to engineer logic gates by exploiting spin wave buses as passive logic elements providing a certain phase-shift to the propagating spin waves. We present a library of logic gates consisting of magnetoelectric cells and spin wave buses providing 0 or π phase shifts. The utilization of phases in addition to amplitudes is a powerful tool which let us construct logic circuits with a fewer number of elements than required for CMOS technology. As an example, we present the design of the magnonic Full Adder Circuit comprising only 5 magnetoelectric cells. The proposed concept may provide a route to more functional wave-based logic circuitry with capabilities far beyond the limits of the traditional transistor-based approach.2

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“…In fact, the polarization states of a classical beam of light provide a classical system with exactly the same properties as that of a single qubit. Therefore, by manipulating the polarization states of a classical beam of light via half-wave and quarter-wave plates, one can efficiently simulate a single qubit [11,12]. In a quantum computer, we invariably have multiple qubits and can create highly entangled states of these qubits which are exploited to perform computation [13,14].…”

Section: Introductionmentioning

confidence: 99%

Determining the parity of a permutation using an experimental NMR qutrit

2014

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We present the NMR implementation of a recently proposed quantum algorithm to find the parity of a permutation. In the usual qubit model of quantum computation, speedup requires the presence of entanglement and thus cannot be achieved by a single qubit. On the other hand, a qutrit is qualitatively more quantum than a qubit because of the existence of quantum contextuality and a single qutrit can be used for computing. We use the deuterium nucleus oriented in a liquid crystal as the experimental qutrit. This is the first experimental exploitation of a single qutrit to carry out a computational task.

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Optical implementations, oracle equivalence, and the Bernstein-Vazirani algorithm

Cited by 9 publications

References 29 publications

Experimental construction of generic three-qubit states and their reconstruction from two-party reduced states on an NMR quantum information processor

Experimental construction of generic three-qubit states and their reconstruction from two-party reduced states on an NMR quantum information processor

Non-volatile magnonic logic circuits engineering

Determining the parity of a permutation using an experimental NMR qutrit

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