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      Constructing Quantum Logic Gates Using q-Deformed Harmonic Oscillator Algebras

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          Abstract

          We study two-level q-deformed angular momentum states and us- ing q-deformed harmonic oscillators, we provide a framework for con- structing qubits and quantum gates. We also present the construction of some basic quantum gates including CNOT, SWAP, Toffoli and Fredkin.

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          Enhancing the W State Quantum Network Fusion Process with A Single Fredkin Gate

          Sinan Bugu, Fatih Ozaydin, Can Yesilyurt (2013)
          Integrating a single Fredkin (controlled swap) gate to the previously introduced W state fusion mechanism (Ozdemir et al, N. J. Phys. 13, 103003, 2011) and using an ancillary photon, we increase the size of the fused W states and essentially, we improve the success probability of the fusion process in a promising way for a possible deterministic W state fusion mechanism. Besides fusing arbitrary size W states, our setup can also fuse Bell states to create W states with a success probability 3/4 which is much higher than the previous works. Therefore using only this setup, it is now possible to start with Bell pairs to create and expand arbitrary size W states. Since higher probability of success implies a lower cost of resource in terms of the number of the states spent to achieve a target size, our setup gives rise to more cost-efficient scenarios.
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            Fusing multiple W states simultaneously with a Fredkin gate

            Azmi Ali Altintas, Mark Tame, Sinan Bugu … (2014)
            We propose an optical scheme to prepare large-scale entangled networks of W states. The scheme works by simultaneously fusing three polarization-encoded W states of arbitrary size via accessing only one qubit of each W state. It is composed of a Fredkin gate (controlled-swap gate), two fusion gates [as proposed in New J. Phys. 13, 103003 (2011)] and an H-polarized ancilla photon. Starting with three \(n\)-qubit W states, the scheme prepares a new W state with \(3(n-1)\)-qubits after postselection if both fusion gates operate successfully, i.e. a four-fold coincidence at the detectors. The proposed scheme reduces the cost of creating arbitrarily large W states considerably when compared to previously reported schemes.
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              Deformed Harmonic Oscillators for Metal Clusters: Analytic Properties and Supershells

              D. Lenis, P. Raychev, Dennis Bonatsos … (2002)
              The analytic properties of Nilsson's Modified Oscillator (MO), which was first introduced in nuclear structure, and of the recently introduced, based on quantum algebraic techniques, 3-dimensional q-deformed harmonic oscillator (3-dim q-HO) with Uq(3) > SOq(3) symmetry, which is known to reproduce correctly in terms of only one parameter the magic numbers of alkali clusters up to 1500 (the expected limit of validity for theories based on the filling of electronic shells), are considered. Exact expressions for the total energy of closed shells are determined and compared among them. Furthermore, the systematics of the appearance of supershells in the spectra of the two oscillators is considered, showing that the 3-dim q-HO correctly predicts the first supershell closure in alkali clusters without use of any extra parameter.
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                Author and article information

                Journal
                Publication date Created: 23 April 2015
                Article
                DOI: 10.1007/s11128-013-0709-3
                ArXiV ID: 1504.06319
                SO-VID: 6723dc59-48f4-46b5-9d2a-ccc982a63c74
                License:

                http://arxiv.org/licenses/nonexclusive-distrib/1.0/

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                Custom metadata
                Journal reference Quantum Information Processing, 13 (4) 1035 (2014)
                Comments Slightly modified version of the accepted manuscript
                Categories quant-ph

                ScienceOpen disciplines: Quantum physics & Field theory
                Data availability:
                ScienceOpen disciplines: Quantum physics & Field theory

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