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A SWAP gate for qudits

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Abstract

We present a quantum SWAP gate valid for quantum systems of an arbitrary dimension. The gate generalizes the CNOT implementation of the SWAP gate for qubits and keeps its most important properties, like symmetry and simplicity. We only use three copies of the same controlled qudit gate. This gate can be built with two standard higher-dimensional operations, the quantum Fourier transform and the \(d\)-dimensional version of the \(C\!Z\) gate.

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References

  1. Muthukrishnan, A., Stroud Jr, C.R.: Multivalued logic gates for quantum computation. Phys. Rev. A 62, 052,309 (2000)

    Article  MathSciNet  Google Scholar 

  2. Wilmott, C.: On swapping the states of two qudits. Int. J. Quantum Inf. 09(06), 1511–1517 (2011)

    Article  MathSciNet  Google Scholar 

  3. Wilmott, C., Wild, P.: On a generalized quantum SWAP gate. Int. J. Quantum Inf. 10(03), 1250,034 (2012)

    Article  Google Scholar 

  4. Mermin, N.D.: From classical state swapping to quantum teleportation. Phys. Rev. A 65(1), 012,320 (2001)

    Article  Google Scholar 

  5. Fujii, K.: Exchange gate on the qudit space and Fock space. J. Opt. B: Quantum Semiclassical Opt. 5(6), S613 (2003)

    Article  ADS  Google Scholar 

  6. Paz-Silva, G., Rebić, S., Twamley, J., Duty, T.: Perfect mirror transport protocol with higher dimensional quantum chains. Phys. Rev. Lett. 102, 020,503 (2009)

    Article  Google Scholar 

  7. Wang, X.: Continuous-variable and hybrid quantum gates. J. Phys. A: Math. Gen. 34(44), 9577 (2001)

    Article  MATH  ADS  Google Scholar 

  8. Daboul, J., Wang, X., Sanders, B.: Quantum gates on hybrid qudits. J. Phys. A: Math. Gen. 36(10), 2525 (2003)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  9. Alber, G., Delgado, A., Gisin, N., Jex, I.: Efficient bipartite quantum state purification in arbitrary dimensional Hilbert spaces. J. Phys. A: Math. Gen. 34(42), 8821 (2001)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  10. Muthukrishnan, A., Stroud, C.R., Jr.: Multilevel quantum logic in Fourier conjugate bases. In: Optical Fiber Communication Conference and International Conference on Quantum Information, p. PB5. Optical Society of America (2001)

  11. Muthukrishnan, A., Stroud Jr, C.R.: Quantum fast Fourier transform using multilevel atoms. J. Mod. Opt. 49(13), 2115–2127 (2002)

    Article  MATH  ADS  Google Scholar 

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Acknowledgments

This work has been funded by MICINN project TEC2010-21303-C04-04.

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Authors and Affiliations

  1. ETSI Telecomunicación, Universidad de Valladolid, Paseo Belén n 15, 47011 , Valladolid, Spain

    Juan Carlos Garcia-Escartin & Pedro Chamorro-Posada

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  1. Juan Carlos Garcia-Escartin
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  2. Pedro Chamorro-Posada
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Correspondence to Juan Carlos Garcia-Escartin.

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Garcia-Escartin, J.C., Chamorro-Posada, P. A SWAP gate for qudits. Quantum Inf Process 12, 3625–3631 (2013). https://doi.org/10.1007/s11128-013-0621-x

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  • DOI: https://doi.org/10.1007/s11128-013-0621-x

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