Tavis-Cummings model and collective multiqubit entanglement in trapped ions

We present a method of generating collective multiqubit entanglement via global addressing of an ion chain performing blue and red Tavis-Cummings interactions, where several qubits are coupled to a collective motional mode. We show that a wide family of Dicke states and irradiant states can be generated by single global laser pulses, unitarily or helped with suitable postselection techniques.

[1]  R. Dicke.  Coherence in Spontaneous Radiation Processes , 1954 .

[2]  D. Porras,et al.  Effective spin quantum phases in systems of trapped ions (11 pages) , 2005 .

[3]  Blatt,et al.  Preparation of Fock states by observation of quantum jumps in an ion trap. , 1993, Physical review letters.

[4]  O. Gühne,et al.  03 21 7 2 3 M ar 2 00 6 Scalable multi-particle entanglement of trapped ions , 2006 .

[5]  J M Taylor,et al.  Long-lived memory for mesoscopic quantum bits. , 2003, Physical review letters.

[6]  Hideo Mabuchi,et al.  Characterizing the entanglement of symmetric many-particle spin-1/2 systems , 2003 .

[7]  F. Verstraete,et al.  Sequential generation of entangled multiqubit states. , 2005, Physical review letters.

[8]  Toschek,et al.  Stochastic cooling of a trapped ion by null detection of its fluorescence. , 1995, Physical review letters.

[9]  G. Tóth,et al.  Detection of multipartite entanglement in the vicinity of symmetric Dicke states , 2005, quant-ph/0511237.

[10]  C. Monroe,et al.  Quantum dynamics of single trapped ions , 2003 .

[11]  King,et al.  Experimental Determination of the Motional Quantum State of a Trapped Atom. , 1996, Physical review letters.

[12]  Entanglement sharing in the two-atom Tavis-Cummings model (10 pages) , 2003, quant-ph/0306015.

[13]  R. B. Blakestad,et al.  Creation of a six-atom ‘Schrödinger cat’ state , 2005, Nature.

[14]  F. W. Cummings,et al.  Exact Solution for an N-Molecule-Radiation-Field Hamiltonian , 1968 .

[15]  J I Cirac,et al.  Spin squeezing inequalities and entanglement of N qubit states. , 2005, Physical review letters.

[16]  R. Brewer,et al.  Observation of superradiant and subradiant spontaneous emission of two trapped ions , 1996, Summaries of Papers Presented at the Quantum Electronics and Laser Science Conference.

[17]  C. Monroe,et al.  Experimental Issues in Coherent Quantum-State Manipulation of Trapped Atomic Ions , 1997, Journal of research of the National Institute of Standards and Technology.

[18]  C. F. Roos,et al.  Generalized spin-squeezing inequalities in N-qubit systems: Theory and experiment , 2006, quant-ph/0601038.

[19]  D. Leibfried,et al.  Toward Heisenberg-Limited Spectroscopy with Multiparticle Entangled States , 2004, Science.

[20]  R Raussendorf,et al.  A one-way quantum computer. , 2001, Physical review letters.