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Teleportation via maximally and non-maximally entangled mixed states [article]

Satyabrata Adhikari, Archan S. Majumdar, Sovik Roy, Biplab Ghosh and Nilkantha Nayak
2016 arXiv   pre-print
We then introduce a non-maximally entangled mixed state obtained as a convex combination of a two-qubit entangled mixed state and a two-qubit separable mixed state.  ...  We first consider two maximally entangled mixed states, viz., the Werner statewerner, and a class of states introduced by Munro et al.munro.  ...  states, entangled mixed states can also be divided into two categories: (i) maximally entangled mixed states (MEMS) and (ii) non-maximally entangled mixed states (NMEMS).  ... 
arXiv:0812.3772v2 fatcat:uhtwezukebemddg4d54bh36hee

Quantum teleportation using non-orthogonal entangled channels

Satyabrata Adhikari, A S Majumdar, Dipankar Home, A K Pan, P Joshi
2012 Physica Scripta  
Our analysis leads to certain interesting results on the teleportation efficiency of both pure and mixed non-orthgonal states compared to that of non-maximally entangled and mixed states.  ...  We investigate how the loss of teleportation fidelity resulting for the use of non-orthogonal states compares to a similar loss of fidelity when noisy or non-maximally entangled states as used as teleportation  ...  Acknowledgements: ASM, DH and PJ acknowledge support from the DST Project SR/S2/PU-16/2007. DH thanks the Centre for Science and Consciousness, Kolkata, for support.  ... 
doi:10.1088/0031-8949/85/04/045001 fatcat:yo2yhktpvrgnbl6uliu3v25gny

Quantum-information processing for a coherent superposition state via a mixedentangled coherent channel

H. Jeong, M. S. Kim, Jinhyoung Lee
2001 Physical Review A. Atomic, Molecular, and Optical Physics  
We investigate a scheme to teleport a coherent superposition state while considering a mixed quantum channel.  ...  We find that the decohered entangled coherent state may be useless for quantum teleportation as it gives the optimal fidelity of teleportation less than the classical limit 2/3.  ...  ACKNOWLEDGMENTS This work has been supported by the UK Engineering and Physical Sciences Research Council (EPSRC) (GR/R 33304).  ... 
doi:10.1103/physreva.64.052308 fatcat:qgpzvwdfszekvhewsvi66t2x6q

Entanglement teleportation through 1D Heisenberg chain

Xiang Hao, Shiqun Zhu
2005 Physics Letters A  
It is found that the entanglement of two spin-$\frac 12$ quantum systems is decreased during teleportation via the thermal mixed state in 1D Heisenberg chain.  ...  The entanglement teleportation will be realized if the minimal entanglement of the thermal mixed state is provided in such quantum channel.  ...  The difference of mutual information I between maximally entangled and non-entangled states is less than 6.0%.  ... 
doi:10.1016/j.physleta.2005.02.037 fatcat:blobxdvhzjeydaea7ktx2t2lue

Origin of noisy states whose teleportation fidelity can be enhanced through dissipation

Somshubhro Bandyopadhyay
2002 Physical Review A. Atomic, Molecular, and Optical Physics  
Importantly if the noisy state is non teleporting then it can always be made teleporting with this prescription.  ...  Recently Badziag et al.badziag obtained a class of noisy states whose teleportation fidelity can be enhanced by subjecting one of the qubits to dissipative interaction with the environment via amplitude  ...  Non teleporting states can always be made teleporting To begin with Alice and Bob initially shared a maximally entangled state.  ... 
doi:10.1103/physreva.65.022302 fatcat:xyil55jpxrazdjx5a6lgcalubm

Tripartite non-maximally-entangled mixed states as a resource for optimally controlled quantum teleportation fidelity

K. G. Paulson, Prasanta K. Panigrahi
2019 Physical Review A  
We show that for a given multipartite entanglement and mixedness, a class of non-maximally entangled mixed X states (X-NMEMS) achieves optimum controlled quantum teleportation fidelity, interestingly a  ...  class of maximally entangled mixed X states (X-MEMS) fails to do so.  ...  Satyanarayana for useful discussions and comments.  ... 
doi:10.1103/physreva.100.052325 fatcat:bocs4wwmdndonhz3uak26xufjm

Local Hidden Variables Underpinning of Entanglement and Teleportation

A. Kalev, A. Mann, M. Revzen
2007 Foundations of physics  
We extend these studies to teleportation which is also based on entanglement. We investigate if, to what extent, and under what conditions may teleportation be accounted for via LHV theory.  ...  These are, e.g., the uncertainty relation among non-commuting operators, and the no-cloning theorem which forces the complete elimination of the teleported state at its initial port.  ...  Mello, and in particular to S. L. Braunstein, for illuminating and helpful discussions.  ... 
doi:10.1007/s10701-006-9092-6 fatcat:e3izd5km7nborjitm4hic7ypse

General teleportation channel, singlet fraction and quasi-distillation [article]

Pawel Horodecki, Michal Horodecki, Ryszard Horodecki
1999 arXiv   pre-print
We prove a theorem on direct relation between the optimal fidelity f_max of teleportation and the maximal singlet fraction F_max attainable by means of trace-preserving LQCC action (local quantum and classical  ...  We illustrate the power of the theorem by showing that any bound entangled state does not provide better fidelity of teleportation than for the purely classical channel.  ...  It this approach some number of non-maximally entangled states is converted via LQCC operations into the less number of maximally entangled ones which can be used for instance for faithful teleportation  ... 
arXiv:quant-ph/9807091v2 fatcat:s7kkj66turbaxkv35askltpx4u

General teleportation channel, singlet fraction, and quasidistillation

Michał Horodecki, Paweł Horodecki, Ryszard Horodecki
1999 Physical Review A. Atomic, Molecular, and Optical Physics  
We prove a theorem on direct relation between the optimal fidelity fmax of teleportation and the maximal singlet fraction Fmax attainable by means of trace-preserving LQCC action (local quantum and classical  ...  For a given bipartite state acting on C d ⊗C d we have fmax = Fmaxd+1 d+1  ...  It this approach some number of non-maximally entangled states is converted via LQCC operations into the less number of maximally entangled ones which can be used for instance for faithful teleportation  ... 
doi:10.1103/physreva.60.1888 fatcat:bc27gfwonrhfvb6jlbx7pj5eoy

Non maximally entangled mixed states as bound entangled states [article]

Sovik Roy, Biplab Ghosh
2015 arXiv   pre-print
In this paper we discuss mainly with our proposed non maximally entangled mixed state defined in (Adhikari et. al, Quant. Inf. Comp.10, No. 5, 0398, (2010)).  ...  We show that such non maximal entangled state is dependent on its characteristic parameter.  ...  By constructing the above state, we showed that such state proves itself as a better teleportation channel compared to a different kind of non-maximally entangled mixed state, known as Werner derivative  ... 
arXiv:1508.00238v2 fatcat:3bj6oor42jd6rm43eromfrqiqi

Optimal teleportation via noisy quantum channels without additional qubit resources

Dong-Gil Im, Chung-Hyun Lee, Yosep Kim, Hyunchul Nha, M. S. Kim, Seung-Woo Lee, Yoon-Ho Kim
2021 npj Quantum Information  
While an ideal teleportation protocol requires noiseless quantum channels to share a pure maximally entangled state, the reality is that shared entanglement is often severely degraded due to various decoherence  ...  In particular, we experimentally demonstrate that our protocol enables to teleport an unknown qubit even via a single copy of an entangled state under strong decoherence that would otherwise preclude any  ...  This demonstration involves a pure non-maximally entangled state between Alice and Bob.  ... 
doi:10.1038/s41534-021-00426-x fatcat:5l7zicv7sjdu3axmzppii7snoi

Recycling the resource: Sequential usage of shared state in quantum teleportation with weak measurements [article]

Saptarshi Roy, Anindita Bera, Shiladitya Mal, Aditi Sen De, Ujjwal Sen
2019 arXiv   pre-print
In this scenario, we report that at most six sender-receiver duos can reuse the state, when the initial shared state is entangled in a finite neighborhood of the maximally entangled state and for a suitable  ...  In the standard teleportation scheme, the sender's measurement on the shared entangled state between the sender and the receiver has that consequence.  ...  NON-MAXIMALLY ENTANGLED STATE AS INITIAL RESOURCE In this section, instead of maximally entangled state as resource, we consider arbitrary pure state shared between A and B under the same measurement strategies  ... 
arXiv:1905.04164v1 fatcat:c6xjp45345gbvdiavhnr5oxbla

Local environment can enhance fidelity of quantum teleportation

Piotr Badzia̧g, Michał Horodecki, Paweł Horodecki, Ryszard Horodecki
2000 Physical Review A. Atomic, Molecular, and Optical Physics  
local environment, the states allow for teleportation with genuinely quantum fidelity.  ...  In passing, we produce some general results regarding optimization of teleportation fidelity by local action. We show that bistochastic processes cannot improve fidelity of two-qubit states.  ...  The isomorphism is given by = (I ⊗ Λ)P + . (14) Thus, for any TP CP map, the corresponding state has a maximally mixed subsystem A and for any state with a maximally mixed subsystem A, there exists a map  ... 
doi:10.1103/physreva.62.012311 fatcat:4r6u26k2ufdjdgk2g2uimwa55y

Entanglement Teleportation via Werner States

Jinhyoung Lee, M. S. Kim
2000 Physical Review Letters  
Transfer of entanglement and information is studied for quantum teleportation of an unknown entangled state through noisy quantum channels.  ...  We find that the quantum entanglement of the unknown state can be lost during the teleportation even when the channel is quantum correlated.  ...  This minimum entanglement is understood using the partial teleportation and the mixed-state teleportation.  ... 
doi:10.1103/physrevlett.84.4236 pmid:10990654 fatcat:7f52g7uon5dutjlkmxz7cb2iyq

Teleporting Quantum Information Encoded in Fermionic Modes [article]

Tiago Debarba, Fernando Iemini, Geza Giedke, Nicolai Friis
2020 arXiv   pre-print
Finally, we analyse the consequences for the operational interpretation of fermionic mode entanglement and examine the usefulness of so-called mixed maximally entangled states for teleportation.  ...  In particular, one is forced to distinguish between single-mode entanglement swapping, and qubit teleportation with or without authentication via Bell inequality violation, as we discuss here in detail  ...  ACKNOWLEDGMENTS We are grateful to Nicolas Brunner, Edvin Olofsson, Patrick Potts, and Peter Samuelsson for fruitful discussions and valuable comments.  ... 
arXiv:2002.08201v1 fatcat:oh6u5f7g45ah5e63egbanbpr5e
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