Optimal fidelity of teleportation of coherent states and entanglement

We study the Braunstein-Kimble protocol for the continuous variable teleportation of a coherent state. We determine lower and upper bounds for the optimal fidelity of teleportation, maximized over all local Gaussian operations for a given entanglement of the two-mode Gaussian state shared by the sender (Alice) and the receiver (Bob). We also determine the optimal local transformations at Alice and Bob sites and the corresponding maximum fidelity when one restricts to local trace-preserving Gaussian completely positive maps.

[1]  S. Braunstein,et al.  Unconditional teleportation of continuous-variable entanglement , 1999, QELS 2000.

[2]  Charles H. Bennett,et al.  Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels. , 1993, Physical review letters.

[3]  Paulina Marian,et al.  Continuous-variable teleportation in the characteristic-function description , 2006 .

[4]  Gershon Kurizki,et al.  Improvement on teleportation of continuous variables by photon subtraction via conditional measurement , 2000 .

[5]  Simón Peres-horodecki separability criterion for continuous variable systems , 1999, Physical review letters.

[6]  Masahide Sasaki,et al.  Entanglement evaluation of non-Gaussian states generated by photon subtraction from squeezed states , 2005, quant-ph/0512069.

[7]  Samuel L. Braunstein,et al.  Criteria for continuous-variable quantum teleportation , 1999, quant-ph/9910030.

[8]  Kimble,et al.  Unconditional quantum teleportation , 1998, Science.

[9]  F. Illuminati,et al.  Equivalence between entanglement and the optimal fidelity of continuous variable teleportation. , 2004, Physical review letters.

[10]  H. Kimble,et al.  Teleportation of continuous quantum variables , 1998, Technical Digest. Summaries of Papers Presented at the International Quantum Electronics Conference. Conference Edition. 1998 Technical Digest Series, Vol.7 (IEEE Cat. No.98CH36236).

[11]  Timothy C. Ralph,et al.  Experimental investigation of continuous-variable quantum teleportation , 2002, quant-ph/0207179.

[12]  Vaidman Teleportation of quantum states. , 1993, Physical review. A, Atomic, molecular, and optical physics.

[13]  Timothy C. Ralph,et al.  Biased EPR entanglement and its application to teleportation , 2003 .

[14]  Seth Lloyd,et al.  Macroscopic entanglement by entanglement swapping. , 2006, Physical review letters.

[15]  Matteo G. A. Paris,et al.  Teleportation improvement by inconclusive photon subtraction , 2003 .

[16]  F. Illuminati,et al.  Extremal entanglement and mixedness in continuous variable systems , 2004, quant-ph/0402124.

[17]  A. Furusawa,et al.  High-fidelity teleportation beyond the no-cloning limit and entanglement swapping for continuous variables. , 2005, Physical review letters.

[18]  A. Furusawa,et al.  High-fidelity continuous-variable quantum teleportation toward multistep quantum operations , 2007, 0710.0242.

[19]  J. Cirac,et al.  Characterization of Gaussian operations and distillation of Gaussian states , 2002, quant-ph/0204085.

[20]  Jacob F. Sherson,et al.  Quantum teleportation between light and matter , 2006, Nature.

[21]  Göran Lindblad,et al.  Cloning the quantum oscillator , 2000 .

[22]  M. B. Plenio,et al.  Squeezing the limit: quantum benchmarks for the teleportation and storage of squeezed states , 2008, 0808.2260.

[23]  Jinhyoung Lee,et al.  Asymmetric quantum channel for quantum teleportation , 2000, quant-ph/0005022.

[24]  F. Illuminati,et al.  Continuous-variable quantum teleportation with non-Gaussian resources , 2007, 0706.3701.

[25]  J. Eisert,et al.  Multi-mode bosonic Gaussian channels , 2008, 0804.0511.

[26]  Gerardo Adesso,et al.  Quantum benchmark for teleportation and storage of squeezed states. , 2007, Physical review letters.

[27]  Stefano Pirandola,et al.  Quantum teleportation with continuous variables: A survey , 2006 .

[28]  N. Cerf,et al.  Quantum key distribution using gaussian-modulated coherent states , 2003, Nature.

[29]  G. Vidal,et al.  Computable measure of entanglement , 2001, quant-ph/0102117.

[30]  Bart Demoen,et al.  Completely positive maps on the CCR-algebra , 1977 .

[31]  Dutta,et al.  Two-mode quantum systems: Invariant classification of squeezing transformations and squeezed states. , 1994, Physical review. A, Atomic, molecular, and optical physics.

[32]  Jaromir Fiurasek Improving the fidelity of continuous-variable teleportation via local operations , 2002 .

[33]  Gerard J. Milburn,et al.  Teleportation improvement by conditional measurements on the two-mode squeezed vacuum , 2002 .

[34]  C. Caves Quantum limits on noise in linear amplifiers , 1982 .

[35]  Timothy C. Ralph,et al.  Continuous Variable Entanglement Swapping , 1999 .

[36]  Seth Lloyd,et al.  Continuous Variable Quantum Cryptography using Two-Way Quantum Communication , 2006, ArXiv.

[37]  Cirac,et al.  Inseparability criterion for continuous variable systems , 1999, Physical review letters.