Protocols and quantum circuits for implementing entanglement concentration in cat state, GHZ-like state and nine families of 4-qubit entangled states

Protocols and quantum circuits for implementing entanglement concentration in cat state, GHZ-like... Three entanglement concentration protocols (ECPs) are proposed. The first ECP and a modified version of that are shown to be useful for the creation of maximally entangled cat and GHZ-like states from their non-maximally entangled counterparts. The last two ECPs are designed for the creation of maximally entangled $$(n+1)$$ ( n + 1 ) -qubit state $$\frac{1}{\sqrt{2}}\left( |\Psi _{0}\rangle |0\rangle +|\Psi _{1}\rangle |1\rangle \right) $$ 1 2 | Ψ 0 ⟩ | 0 ⟩ + | Ψ 1 ⟩ | 1 ⟩ from the partially entangled $$(n+1)$$ ( n + 1 ) -qubit normalized state $$\alpha |\Psi _{0}\rangle |0\rangle +\beta |\Psi _{1}\rangle |1\rangle ,$$ α | Ψ 0 ⟩ | 0 ⟩ + β | Ψ 1 ⟩ | 1 ⟩ , where $$\langle \Psi _{1}|\Psi _{0}\rangle =0$$ ⟨ Ψ 1 | Ψ 0 ⟩ = 0 and $$|\alpha |\ne \frac{1}{\sqrt{2}}$$ | α | ≠ 1 2 . It is also shown that W, GHZ, GHZ-like, Bell and cat states and specific states from the nine SLOCC-nonequivalent families of 4-qubit entangled states can be expressed as $$\frac{1}{\sqrt{2}}\left( |\Psi _{0}\rangle |0\rangle +|\Psi _{1}\rangle |1\rangle \right) $$ 1 2 | Ψ 0 ⟩ | 0 ⟩ + | Ψ 1 ⟩ | 1 ⟩ , and consequently, the last two ECPs proposed here are applicable to all these states. Quantum circuits for the implementation of the proposed ECPs are provided, and it is shown that the proposed ECPs can be realized using linear optics. The efficiency of the ECPs is studied using a recently introduced quantitative measure (Sheng et al., Phys Rev A 85:012307, 2012). Limitations of the measure are also reported. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Quantum Information Processing Springer Journals

Protocols and quantum circuits for implementing entanglement concentration in cat state, GHZ-like state and nine families of 4-qubit entangled states

Loading next page...
 
/lp/springer_journal/protocols-and-quantum-circuits-for-implementing-entanglement-N7b5jGtzbv
Publisher
Springer US
Copyright
Copyright © 2015 by Springer Science+Business Media New York
Subject
Physics; Quantum Information Technology, Spintronics; Quantum Computing; Data Structures, Cryptology and Information Theory; Quantum Physics; Mathematical Physics
ISSN
1570-0755
eISSN
1573-1332
D.O.I.
10.1007/s11128-015-0948-6
Publisher site
See Article on Publisher Site

References

  • A scheme for distributed quantum search through simultaneous state transfer mechanism
    Gupta, M; Pathak, A
  • An entanglement concentration protocol for cluster states
    Choudhury, BS; Dhara, A
  • Two-step entanglement concentration for arbitrary electronic cluster state
    Zhao, S-Y; Liu, J; Zhou, L; Sheng, Y-B
  • Efficient entanglement concentration for arbitrary less-entangled NOON states
    Zhou, L; Sheng, Y-B; Cheng, W-W; Gong, L-Y; Zhao, S-M
  • Hyperentanglement concentration for two-photon four-qubit systems with linear optics
    Ren, BC; Du, FF; Deng, FG
  • On the group-theoretic structure of a class of quantum dialogue protocols
    Shukla, C; Kothari, V; Banerjee, A; Pathak, A
  • All maximally entangled four-qubit states
    Gour, G; Wallach, NR
  • Efficient entanglement concentration for electron-spin W state with the charge detection
    Zhou, L
  • Optimal multipartite entanglement concentration of electron-spin states based on charge detection and projection measurements
    Ren, BC; Wei, HR; Li, T; Hua, M; Deng, FG
  • Efficient entanglement concentration for quantum dot and optical microcavities systems
    Sheng, YB; Zhou, L; Wang, L; Zhao, SM
  • Hierarchical quantum communication
    Shukla, C; Pathak, A
  • Invited review article: single-photon sources and detectors
    Eisaman, MD; Fan, J; Migdall, A; Polyakov, SV
  • Free entanglement measure of multiparticle quantum states
    Yu, C-S; Song, H-S

You’re reading a free preview. Subscribe to read the entire article.


DeepDyve is your
personal research library

It’s your single place to instantly
discover and read the research
that matters to you.

Enjoy affordable access to
over 12 million articles from more than
10,000 peer-reviewed journals.

All for just $49/month

Explore the DeepDyve Library

Unlimited reading

Read as many articles as you need. Full articles with original layout, charts and figures. Read online, from anywhere.

Stay up to date

Keep up with your field with Personalized Recommendations and Follow Journals to get automatic updates.

Organize your research

It’s easy to organize your research with our built-in tools.

Your journals are on DeepDyve

Read from thousands of the leading scholarly journals from SpringerNature, Elsevier, Wiley-Blackwell, Oxford University Press and more.

All the latest content is available, no embargo periods.

See the journals in your area

Monthly Plan

  • Read unlimited articles
  • Personalized recommendations
  • No expiration
  • Print 20 pages per month
  • 20% off on PDF purchases
  • Organize your research
  • Get updates on your journals and topic searches

$49/month

Start Free Trial

14-day Free Trial

Best Deal — 39% off

Annual Plan

  • All the features of the Professional Plan, but for 39% off!
  • Billed annually
  • No expiration
  • For the normal price of 10 articles elsewhere, you get one full year of unlimited access to articles.

$588

$360/year

billed annually
Start Free Trial

14-day Free Trial