Quantum teleportation of a polarization state with a complete bell state measurement

Physical Review Letters

Volumn 86, Issue 7, 2001, Pages 1370-1373

  Kim, Yoon Ho ^a   Kulik, Sergei P ^a,b   Shih, Yanhua ^a  

^a UNIVERSITY OF MARYLAND BALTIMORE COUNTY   (United States)

^b MOSCOW STATE UNIVERSITY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

CHARGED PARTICLES; CORRELATION METHODS; ELECTROMAGNETIC WAVE POLARIZATION; HARMONIC GENERATION; LASER PULSES; NONLINEAR OPTICS; PARAMAGNETIC RESONANCE; PHOTONS; ULTRAFAST PHENOMENA;

COMPLETE BELL STATE MEASUREMENT; QUANTUM TELEPORTATION; SPONTANEOUS PARAMETRIC DOWN CONVERSION;

QUANTUM THEORY;

EID: 4444241680     PISSN: 00319007     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevLett.86.1370     Document Type: Article

References (18)

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9. Here, we consider measurements of polarization entanglement only. It one assumes measurements of entanglement in more than 1 degree of freedom, nonlinear interactions may not be necessary for a complete BSM; see Ref. [9]. However, as pointed out by Lütkenhaus et al., "half the job is already done" in the latter case [7].
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12. Complete BSM using SFG is also useful for other applications; see C. H. Bennett and S. J. Wiesner, Phys. Rev. Lett. 69, 2881 (1992); C. H. Bennett and H. Bernstein (private communication).
13. 10 photons in each laser pulse actually has a chance to take part in the SFG process since Alice's share of the EPR pair is in the single-photon state. It can be easily shown that every photon in the input laser pulse has the polarisation state of Eq. (1) by considering the correspondence principle. What is being teleported is the state or qubit associated with this photon. In principle, it does not prevent one from using a single-photon qubit as the input state in this experiment. Because of the low efficiency of SFG, one needs to wait a much longer time for teleportation to occur.
14. The state of the laser beam is collectively in a coherent state, which is a product state in the coherent state representation. However, the concept of the state of the system is different from that of the polarization of the field. The polarization state of the single photon that actually takes part in the SFG process is given by Eq. (1). This result can also be obtained through the weak-field approximation of a coherent state for the photon in the Fock state basis.
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16. 800 nm input pulse and 400 nm pump pulse (which pumps the SPDC crystals) are actually drawn from a single Ti:sapphire laser to ensure that they have the same repetition rate (82 MHz).
17. The efficiency of SFG (from the SPDC photons) is roughly estimated to be ∼0.1%-1%. The SFG crystals used for the data shown in this paper are BBO's with 2 mm thickness.
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