#
Effects of Indistinguishability in a System of Three Identical Qubits^{ †}

^{1}

^{2}

^{*}

^{†}

## Abstract

**:**

## 1. Introduction

## 2. Results

**Figure 1.**(

**a**) Configuration of the state $|{\mathsf{\Phi}}^{\left(3\right)}\rangle $ when particles are in separated spatial regions (grey zones). (

**b**) Complete spatial overlap of three qubits in the spatial region A.

## 3. Discussion

## References

- Compagno, G.; Castellini, A.; Lo Franco, R. Dealing with indistinguishable particles and their entanglement. Phil. Trans. R. Soc. A
**2018**, 376, 20170317. [Google Scholar] [CrossRef] [PubMed] - Ladd, T.D.; Jelezko, F.; Laflamme, R.; Nakamura, Y.; Monroe, C.; O’Brien, J.L. Quantum computers. Nature
**2010**, 464, 45–53. [Google Scholar] [CrossRef] - Braun, D.; Adesso, G.; Benatti, F.; Floreanini, R.; Marzolino, U.; Mitchell, M.W.; Pirola, S. Quantum-enhanced measurements without entanglement. Rev. Mod. Phys.
**2018**, 90, 035006. [Google Scholar] [CrossRef] - Peres, A. Quantum Theory: Concepts and Methods; Springer: Dordrecht, The Netherlands, 1995. [Google Scholar]
- Ghirardi, G.; Marinatto, L. General criterion for the entanglement of two indistinguishable particles. Phys. Rev. A
**2004**, 70, 012109. [Google Scholar] [CrossRef] - Tichy, M.C.; Mintert, F.; Buchleitner, A. Essential entanglement for atomic and molecular physics. J. Phys. B Atom. Mol. Opt. Phys
**2011**, 44, 192001. [Google Scholar] [CrossRef] - Lo Franco, R.; Compagno, G. Quantum entanglement of identical particles by standard information-theoretic notions. Sci. Rep.
**2016**, 6, 20603. [Google Scholar] [CrossRef] [PubMed] - Sciara, S.; Lo Franco, R.; Compagno, G. Universality of Schmidt decomposition and particle identity. Sci. Rep.
**2017**, 7, 44675. [Google Scholar] [CrossRef] [PubMed] - Lo Franco, R.; Compagno, G. Indistinguishability of Elementary Systems as a Resource for Quantum Information Processing. Phys. Rev. Lett.
**2018**, 120, 240403. [Google Scholar] [CrossRef] [PubMed] - Horodecki, R.; Horodecki, P.; Horodecki, M.; Horodecki, K. Quantum entanglement. Rev. Mod. Phys.
**2009**, 81, 865. [Google Scholar] [CrossRef] - Amico, L.; Fazio, R.; Osterloh, A.; Vedral, V. Entanglement in many-body systems. Rev. Mod. Phys
**2008**, 80, 517–576. [Google Scholar] [CrossRef] - Cunden, F.D.; Martino, S.D.; Facchi, P.; Florio, G. Spatial separation and entanglement of identical particles. Int. J. Quant. Inf.
**2014**, 12, 1461001. [Google Scholar] [CrossRef] - Winter, A.; Yang, D. Operational resource theory of coherence. Phys. Rev. Lett.
**2016**, 116, 120404. [Google Scholar] [CrossRef] [PubMed] - Giovannetti, V.; Lloyd, S.; Maccone, L. Advances in quantum metrology. Nat. Photonics
**2011**, 5, 222. [Google Scholar] [CrossRef]

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## Share and Cite

**MDPI and ACS Style**

Castellini, A.; Franco, R.L.; Compagno, G.
Effects of Indistinguishability in a System of Three Identical Qubits. *Proceedings* **2019**, *12*, 23.
https://doi.org/10.3390/proceedings2019012023

**AMA Style**

Castellini A, Franco RL, Compagno G.
Effects of Indistinguishability in a System of Three Identical Qubits. *Proceedings*. 2019; 12(1):23.
https://doi.org/10.3390/proceedings2019012023

**Chicago/Turabian Style**

Castellini, Alessia, Rosario Lo Franco, and Giuseppe Compagno.
2019. "Effects of Indistinguishability in a System of Three Identical Qubits" *Proceedings* 12, no. 1: 23.
https://doi.org/10.3390/proceedings2019012023