Generalized teleportation fidelity and singlet fraction and their relation for (in)distinguishable particles and its applications
Quantum teleportation efficiently transfers quantum information between distant locations by utilizing a pre-established composite system. Assessing the effectiveness of teleportation hinges on its fidelity, representing the similarity between input and output states. This fidelity, in turn, relies...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
AIP Publishing LLC
2025-06-01
|
| Series: | APL Quantum |
| Online Access: | http://dx.doi.org/10.1063/5.0254301 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1850111328415383552 |
|---|---|
| author | Soumya Das Goutam Paul Anindya Banerji |
| author_facet | Soumya Das Goutam Paul Anindya Banerji |
| author_sort | Soumya Das |
| collection | DOAJ |
| description | Quantum teleportation efficiently transfers quantum information between distant locations by utilizing a pre-established composite system. Assessing the effectiveness of teleportation hinges on its fidelity, representing the similarity between input and output states. This fidelity, in turn, relies on a singlet fraction, quantifying the resemblance of the composite system to maximally entangled states. The relation between teleportation fidelity and singlet fraction given by Horodecki et al. [Phys. Rev. A 60, 1888 (1999)] does not hold for distinguishable particles with multiple degrees of freedom or indistinguishable particles with single or multiple degrees of freedom. In this paper, we propose generalized expressions for teleportation fidelity and singlet fraction and derive their relations, applicable to both distinguishable and indistinguishable particles with single or multiple degrees of freedom. We derive an upper bound for the generalized singlet fraction for distinguishable particles using the monogamy of singlet fraction by Kay et al. [Phys. Rev. Lett. 103, 050501 (2009)]. We also show how our relation helps characterize different types of composite states in terms of their distinguishability, separability, the presence of maximally entangled structure, and the number of degrees of freedom. We complement our theory with two practical illustrations. First, we demonstrate two counter-intuitive values of generalized singlet fraction using our optical circuit and the circuit of Li et al. [Phys. Rev. Lett. 120, 050404 (2018)]. Finally, we show that using an additional degree of freedom as an ancilla instead of a particle can be advantageous in quantum cryptographic protocols. |
| format | Article |
| id | doaj-art-49063bcb432e40d19c960d11cf73552c |
| institution | OA Journals |
| issn | 2835-0103 |
| language | English |
| publishDate | 2025-06-01 |
| publisher | AIP Publishing LLC |
| record_format | Article |
| series | APL Quantum |
| spelling | doaj-art-49063bcb432e40d19c960d11cf73552c2025-08-20T02:37:38ZengAIP Publishing LLCAPL Quantum2835-01032025-06-0122026123026123-2010.1063/5.0254301Generalized teleportation fidelity and singlet fraction and their relation for (in)distinguishable particles and its applicationsSoumya Das0Goutam Paul1Anindya Banerji2Cryptology and Security Research Unit, Indian Statistical Institute, Kolkata 700108, IndiaCryptology and Security Research Unit, Indian Statistical Institute, Kolkata 700108, IndiaCentre for Quantum Technologies, National University of Singapore, Block S15, Science Drive 2, Singapore 117543Quantum teleportation efficiently transfers quantum information between distant locations by utilizing a pre-established composite system. Assessing the effectiveness of teleportation hinges on its fidelity, representing the similarity between input and output states. This fidelity, in turn, relies on a singlet fraction, quantifying the resemblance of the composite system to maximally entangled states. The relation between teleportation fidelity and singlet fraction given by Horodecki et al. [Phys. Rev. A 60, 1888 (1999)] does not hold for distinguishable particles with multiple degrees of freedom or indistinguishable particles with single or multiple degrees of freedom. In this paper, we propose generalized expressions for teleportation fidelity and singlet fraction and derive their relations, applicable to both distinguishable and indistinguishable particles with single or multiple degrees of freedom. We derive an upper bound for the generalized singlet fraction for distinguishable particles using the monogamy of singlet fraction by Kay et al. [Phys. Rev. Lett. 103, 050501 (2009)]. We also show how our relation helps characterize different types of composite states in terms of their distinguishability, separability, the presence of maximally entangled structure, and the number of degrees of freedom. We complement our theory with two practical illustrations. First, we demonstrate two counter-intuitive values of generalized singlet fraction using our optical circuit and the circuit of Li et al. [Phys. Rev. Lett. 120, 050404 (2018)]. Finally, we show that using an additional degree of freedom as an ancilla instead of a particle can be advantageous in quantum cryptographic protocols.http://dx.doi.org/10.1063/5.0254301 |
| spellingShingle | Soumya Das Goutam Paul Anindya Banerji Generalized teleportation fidelity and singlet fraction and their relation for (in)distinguishable particles and its applications APL Quantum |
| title | Generalized teleportation fidelity and singlet fraction and their relation for (in)distinguishable particles and its applications |
| title_full | Generalized teleportation fidelity and singlet fraction and their relation for (in)distinguishable particles and its applications |
| title_fullStr | Generalized teleportation fidelity and singlet fraction and their relation for (in)distinguishable particles and its applications |
| title_full_unstemmed | Generalized teleportation fidelity and singlet fraction and their relation for (in)distinguishable particles and its applications |
| title_short | Generalized teleportation fidelity and singlet fraction and their relation for (in)distinguishable particles and its applications |
| title_sort | generalized teleportation fidelity and singlet fraction and their relation for in distinguishable particles and its applications |
| url | http://dx.doi.org/10.1063/5.0254301 |
| work_keys_str_mv | AT soumyadas generalizedteleportationfidelityandsingletfractionandtheirrelationforindistinguishableparticlesanditsapplications AT goutampaul generalizedteleportationfidelityandsingletfractionandtheirrelationforindistinguishableparticlesanditsapplications AT anindyabanerji generalizedteleportationfidelityandsingletfractionandtheirrelationforindistinguishableparticlesanditsapplications |