Quantum Teleportation Between Distant Matter Qubits

Quantum teleportation is the faithful transfer of quantum states between systems, relying on the prior establishment of entanglement and using only classical communication during the transmission. We report teleportation of quantum information between atomic quantum memories separated by about 1 meter. A quantum bit stored in a single trapped ytterbium ion (Yb+) is teleported to a second Yb+ atom with an average fidelity of 90% over a replete set of states. The teleportation protocol is based on the heralded entanglement of the atoms through interference and detection of photons emitted from each atom and guided through optical fibers. This scheme may be used for scalable quantum computation and quantum communication.

[1]  Hong,et al.  Measurement of subpicosecond time intervals between two photons by interference. , 1987, Physical review letters.

[2]  D. Engelke,et al.  Spectroscopy of the electric-quadrupole transition 2 S 1/2 (F=0)- 2 D 3/2 (F=2) in trapped 171 Yb + , 2000 .

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

[4]  C. Monroe,et al.  Architecture for a large-scale ion-trap quantum computer , 2002, Nature.

[5]  H. Weinfurter,et al.  Observation of entanglement of a single photon with a trapped atom. , 2006, Physical review letters.

[6]  H. Winckel,et al.  Detection of elements beyond the Ba-peak in VLT+UVES spectra of post-AGB stars , 2003, astro-ph/0308048.

[7]  C. Monroe,et al.  Observation of entanglement between a single trapped atom and a single photon , 2004, Nature.

[8]  B. Blinov,et al.  Barium ions for quantum computation , 2009, 0905.2701.

[9]  John L. Hall,et al.  Laser phase and frequency stabilization using an optical resonator , 1983 .

[10]  D. A. Dunnett.  Classical Electrodynamics , 2020, Nature.

[11]  Editors , 1986, Brain Research Bulletin.

[12]  E. T..  An Introduction to the Theory of Numbers , 1946, Nature.

[13]  D Hayes,et al.  Heralded quantum gate between remote quantum memories. , 2009, Physical review letters.

[14]  L. Maleki,et al.  Lifetime Measurements of the 4f(sup 14)5d Metastable States in Single Ytterbium Ions , 2000 .

[15]  K. Odaka,et al.  Dependence of outgassing rate on surface oxide layer thickness in type 304 stainless steel before and after surface oxidation in air , 1996 .

[16]  A. Drezet.  Comment on 'Single-particle entanglement' , 2006 .

[17]  I. Chuang,et al.  Quantum Computation and Quantum Information: Bibliography , 2010 .

[18]  H. S. Allen.  The Quantum Theory , 1928, Nature.

[19]  I. Bloch.  Quantum coherence and entanglement with ultracold atoms in optical lattices , 2008, Nature.

[20]  Patrick Gill,et al.  Frequency-stabilised diode lasers in the visible region using Doppler-free iodine spectra , 1996 .

[21]  J. Migdalek.  Influence of core polarisation on relativistic oscillator strengths for lowest s-p transitions in Yb II-Hf IV spectra , 1980 .

[22]  M. Horodecki,et al.  General teleportation channel, singlet fraction and quasi-distillation , 1998, quant-ph/9807091.

[23]  D. Matsukevich,et al.  Entanglement of single-atom quantum bits at a distance , 2007, Nature.

[24]  L. Deslauriers,et al.  T-junction ion trap array for two-dimensional ion shuttling, storage, and manipulation , 2005, quant-ph/0508097.

[25]  R. D. Cowan,et al.  The Theory of Atomic Structure and Spectra , 1981 .

[26]  C. Tamm,et al.  Collisional Population Trapping and Optical Deexcitation of Ytterbium Ions in a Radiofrequency Trap , 1992 .

[27]  Gough,et al.  Isotope shifts and hyperfine structure in the 369.4-nm 6s-6p1/2 resonance line of singly ionized ytterbium. , 1994, Physical review. A, Atomic, molecular, and optical physics.

[28]  R. B. Blakestad,et al.  Microfabricated surface-electrode ion trap for scalable quantum information processing. , 2006, Physical review letters.

[29]  C. Cowley.  Lanthanide Rare Earths in Stellar Spectra With Emphasis on Chemically Peculiar Stars , 1984 .

[30]  J. P. Home,et al.  Deterministic entanglement and tomography of ion-spin qubits , 2006 .

[31]  Jian-Wei Pan,et al.  Memory-built-in quantum teleportation with photonic and atomic qubits , 2007, 0705.1256.

[32]  Shih,et al.  New type of Einstein-Podolsky-Rosen-Bohm experiment using pairs of light quanta produced by optical parametric down conversion. , 1988, Physical review letters.

[33]  I. A.,et al.  Realization of a Filter with Helical Components * , 2000 .

[34]  Massar,et al.  Optimal extraction of information from finite quantum ensembles. , 1995, Physical review letters.

[35]  H. Weinfurter,et al.  Entanglement-based quantum communication over 144km , 2007 .

[36]  R. Blatt,et al.  Entangled states of trapped atomic ions , 2008, Nature.

[37]  H. J. Kimble,et al.  The quantum internet , 2008, Nature.

[38]  Michael Pepper,et al.  Electrically Driven Single-Photon Source , 2001, Science.

[39]  K. Honda,et al.  Magneto-optical trapping of Yb atoms using an intercombination transition , 1999 .

[40]  C. F. Roos,et al.  Quantum teleportation with atoms: quantum process tomography , 2007, 0704.2027.

[41]  A. D. Boozer,et al.  Deterministic Generation of Single Photons from One Atom Trapped in a Cavity , 2004, Science.

[42]  Patrick M. Fitzpatrick.  Advanced Calculus: A Course in Mathematical Analysis , 1995 .

[43]  S. Haroche,et al.  General theory of laser-induced quantum beats. II. Sequential laser excitation; effects of external static fields , 1978 .

[44]  É. Biémont,et al.  Lifetime measurements and calculations in singly ionized ytterbium , 2002 .

[45]  É. Biémont,et al.  Lifetime measurements in Yb II with time-resolved laser spectroscopy , 1999 .

[46]  M. Trinczek,et al.  Hyperfine-structure splittings and absorption strengths of molecular-iodine transitions near the trapping frequencies of francium , 2004 .

[47]  R. March.  Quadrupole ion trap mass spectrometry: theory, simulation, recent developments and applications , 1998 .

[48]  Gerd Leuchs,et al.  Stylus ion trap for enhanced access and sensing , 2009 .

[49]  W. Johnson,et al.  Relativistic many-body calculations of excitation energies and transition rates in ytterbiumlike ions , 2002, physics/0205051.

[50]  N. Lutkenhaus,et al.  Experimental procedures for entanglement verification , 2007 .

[51]  S. J. van Enk,et al.  Single-particle entanglement , 2005 .

[52]  Isaac L. Chuang,et al.  Demonstrating the viability of universal quantum computation using teleportation and single-qubit operations , 1999, Nature.

[53]  T. Wilk,et al.  Time-resolved two-photon quantum interference , 2003, quant-ph/0308024.

[54]  Geoffrey P. Barwood,et al.  Investigation of the s-2(1/2)-d-2(5/2) clock transition in a single ytterbium ion , 1997 .

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

[56]  Ekert,et al.  Quantum cryptography based on Bell's theorem. , 1991, Physical review letters.

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

[58]  P. Maunz,et al.  Ultrafast Coherent Coupling of Atomic Hyperfine and Photon Frequency Qubits , 2006 .

[59]  F. Schmidt-Kaler,et al.  Deterministic quantum teleportation with atoms , 2004, Nature.

[60]  David J. Wineland,et al.  Minimization of ion micromotion in a Paul trap , 1998 .

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

[62]  R. Feynman.  Simulating physics with computers , 1999 .

[63]  L-M Duan,et al.  Scalable generation of graph-state entanglement through realistic linear optics. , 2006, Physical review letters.

[64]  Mann,et al.  Measurement of the Bell operator and quantum teleportation. , 1995, Physical review. A, Atomic, molecular, and optical physics.

[65]  P.T.H. Fisk,et al.  Accurate measurement of the 12.6 GHz "clock" transition in trapped /sup 171/Yb/sup +/ ions , 1997, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[66]  Wolfgang Dür,et al.  Quantum Repeaters: The Role of Imperfect Local Operations in Quantum Communication , 1998 .

[67]  P. Grangier,et al.  Quantum interference between two single photons emitted by independently trapped atoms , 2006, Nature.

[68]  Peter W. Shor,et al.  Algorithms for quantum computation: discrete logarithms and factoring , 1994, Proceedings 35th Annual Symposium on Foundations of Computer Science.

[69]  T. O'Meara,et al.  Realization of a Filter with Helical Components , 1961 .

[70]  B. Johansson,et al.  Origin of the Invar effect in iron–nickel alloys , 1999, Nature.

[71]  R. Blatt,et al.  Towards fault-tolerant quantum computing with trapped ions , 2008, 0803.2798.

[72]  A. Zeilinger,et al.  Experimental one-way quantum computing , 2005, Nature.

[73]  J. Clarke,et al.  Superconducting quantum bits , 2008, Nature.

[74]  G. Milburn,et al.  Linear optical quantum computing with photonic qubits , 2005, quant-ph/0512071.

[75]  L-M Duan,et al.  Efficient quantum computation with probabilistic quantum gates. , 2005, Physical review letters.

[76]  J. A. Kernahan,et al.  Beam-laser measurements of the lifetimes of the 6p levels in YbII , 1997 .

[77]  C. Simon,et al.  Robust long-distance entanglement and a loophole-free bell test with ions and photons. , 2003, Physical review letters.

[78]  King,et al.  Demonstration of a fundamental quantum logic gate. , 1995, Physical review letters.

[79]  M. Hennrich,et al.  Quantum interference from remotely trapped ions , 2008, 0810.1847.

[80]  F. L. Walls,et al.  Radiation-Pressure Cooling of Bound Resonant Absorbers , 1978 .

[81]  W. Paul.  Electromagnetic traps for charged and neutral particles , 1990 .

[82]  É. Biémont,et al.  Lifetime calculations in Yb II , 1998 .

[83]  D. Matsukevich,et al.  Quantum State Transfer Between Matter and Light , 1999, Science.

[84]  Young,et al.  Precision lifetime measurements of Cs 6p 2P1/2 and 6p 2P3/2 levels by single-photon counting. , 1994, Physical review. A, Atomic, molecular, and optical physics.

[85]  L. Elton.  Atomic Physics , 1966, Nature.

[86]  S. Olmschenk,et al.  Manipulation and detection of a trapped Yb+ hyperfine qubit , 2007, 0708.0657.

[87]  J. Bell.  On the Einstein-Podolsky-Rosen paradox , 1964 .

[88]  A. Braun,et al.  Electrodynamically trapped Yb + ions for quantum information processing , 2006 .

[89]  C W Oates,et al.  Observation and absolute frequency measurements of the 1S0-3P0 optical clock transition in neutral ytterbium. , 2005, Physical review letters.

[90]  E. Black.  An introduction to Pound–Drever–Hall laser frequency stabilization , 2001 .

[91]  Barenco,et al.  Elementary gates for quantum computation. , 1995, Physical review. A, Atomic, molecular, and optical physics.

[92]  M. G. Boshier,et al.  Destabilization of dark states and optical spectroscopy in Zeeman-degenerate atomic systems , 2002 .

[93]  Blatt,et al.  Population trapping in excited Yb ions. , 1989, Physical review letters.

[94]  T Schneider,et al.  Sub-Hertz optical frequency comparisons between two trapped 171Yb+ ions. , 2005, Physical review letters.

[95]  G. Fowles,et al.  Introduction to modern optics , 1968 .

[96]  C. Monroe,et al.  Scaling and suppression of anomalous heating in ion traps. , 2006, Physical review letters.

[97]  David Leibrandt,et al.  Suppression of heating rates in cryogenic surface-electrode ion traps. , 2007, Physical review letters.

[98]  J. Cirac,et al.  Long-distance quantum communication with atomic ensembles and linear optics , 2001, Nature.

[99]  C. F. Roos,et al.  Experimental quantum-information processing withC43a+ions , 2008, 0804.1261.

[100]  Christian Kurtsiefer,et al.  Experimental study of anomalous heating and trap instabilities in a microscopic 137 Ba ion trap , 2002 .

[101]  Jacob Sherson,et al.  Deterministic Atom–Light Quantum Interface , 2006 .

[102]  M. A. Rowe,et al.  Heating of trapped ions from the quantum ground state , 2000 .

[103]  C. Monroe,et al.  Ultrafast coherent excitation of a trapped ion qubit for fast gates and photon frequency qubits. , 2006, Physical review letters.

[104]  S. Svanberg,et al.  Lifetime measurements for excited states of rare-earth atoms using pulse modulation of a cw dye-laser beam , 1979 .

[105]  H. Weinfurter,et al.  Experimental quantum teleportation , 1997, Nature.

[106]  W. C. Martin,et al.  Handbook of Basic Atomic Spectroscopic Data , 2005 .

[107]  M. Safronova,et al.  Third-order relativistic many-body calculations of energies, transition rates, hyperfine constants, and blackbody radiation shift in 171Yb+ , 2009 .

[108]  K. Sugiyama,et al.  Production of YbH + by chemical reaction of Yb + in excited states with H 2 gas , 1997 .

[109]  T. Wilk,et al.  Single-Atom Single-Photon Quantum Interface , 2007, Science.

[110]  Klein,et al.  Laser cooling of trapped ytterbium ions using a four-level optical-excitation scheme. , 1991, Physical review. A, Atomic, molecular, and optical physics.

[111]  D. Stick,et al.  Planar ion trap geometry for microfabrication , 2004 .

[112]  Andrew G. White,et al.  Measurement of qubits , 2001, quant-ph/0103121.

[113]  Patrick Gill,et al.  Subkilohertz absolute-frequency measurement of the 467-nm electric octupole transition in {sup 171}Yb{sup +} , 2003 .

[114]  E. Wright,et al.  An Introduction to the Theory of Numbers , 1939 .

[115]  David J. Wineland,et al.  Sympathetic cooling of 9Be+ and 24Mg+ for quantum logic , 2003 .

[116]  Bowers,et al.  Experimental investigation of excited-state lifetimes in atomic ytterbium. , 1996, Physical review. A, Atomic, molecular, and optical physics.

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

[118]  Lu-Ming Duan,et al.  Scalable trapped ion quantum computation with a probabilistic ion-photon mapping , 2004, Quantum Inf. Comput..

[119]  Mary L. Boas,et al.  Mathematical Methods in the Physical Sciences , 1968 .

[120]  N Ashby,et al.  Precision atomic spectroscopy for improved limits on variation of the fine structure constant and local position invariance. , 2007, Physical review letters.

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

[122]  M. Hohenstatt,et al.  "Optical-sideband Cooling of Visible Atom Cloud Confined in Parabolic Well" , 1978 .

[123]  D. Deutsch.  Quantum theory, the Church–Turing principle and the universal quantum computer , 1985, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[124]  L-M Duan.  Scaling ion trap quantum computation through fast quantum gates. , 2004, Physical review letters.

[125]  W. W. Macalpine,et al.  Coaxial Resonators with Helical Inner Conductor , 1959, Proceedings of the IRE.

[126]  H. Dehmelt,et al.  Radiofrequency Spectroscopy of Stored Ions I: Storage , 1968 .

[127]  J. Cirac,et al.  Creation of entangled states of distant atoms by interference , 1998, quant-ph/9810013.

[128]  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.

[129]  Kuhn,et al.  Vacuum-stimulated raman scattering based on adiabatic passage in a high-finesse optical cavity , 2000, Physical review letters.

[130]  N. Grevesse.  Accurate Atomic Data and Solar Photospheric Spectroscopy , 1984 .

[131]  W. Wootters,et al.  A single quantum cannot be cloned , 1982, Nature.

[132]  J J García-Ripoll,et al.  Speed optimized two-qubit gates with laser coherent control techniques for ion trap quantum computing. , 2003, Physical review letters.

[133]  Blatt,et al.  Trapped ions in the strong-excitation regime: Ion interferometry and nonclassical states. , 1996, Physical review. A, Atomic, molecular, and optical physics.

[134]  Christopher R. Monroe,et al.  Near-perfect simultaneous measurement of a qubit register , 2006, Quantum Inf. Comput..

[135]  J M Amini,et al.  High-fidelity transport of trapped-ion qubits through an X-junction trap array. , 2009, Physical review letters.

[136]  D. Matsukevich,et al.  Bell inequality violation with two remote atomic qubits. , 2008, Physical review letters.

[137]  B. Blinov,et al.  Trapped ion imaging with a high numerical aperture spherical mirror , 2009, 0901.4742.

[138]  J. Britton,et al.  Sympathetic cooling of 9 Be + and 24 Mg + for quantum logic , 2003 .

[139]  U. Peschel,et al.  A new 4π geometry optimized for focusing on an atom with a dipole-like radiation pattern , 2007 .

[140]  Shih,et al.  Einstein-Podolsky-Rosen-Bohm experiment using pairs of light quanta produced by type-II parametric down-conversion. , 1993, Physical review letters.

[141]  G. G. Stokes.  "J." , 1890, The New Yale Book of Quotations.

[142]  Atomic qubit manipulations with an electro-optic modulator. , 2003, Optics letters.

[143]  D. Leibfried,et al.  Ion traps with enhanced optical and physical access , 2008, 0810.2647.

[144]  David Hucul,et al.  On the transport of atomic ions in linear and multidimensional ion trap arrays , 2007, Quantum information & computation.

[145]  Jian-Wei Pan,et al.  Experimental entanglement of six photons in graph states , 2006, quant-ph/0609130.

[146]  T. Ralph,et al.  Quantum process tomography of a controlled-NOT gate. , 2004, Physical review letters.

[147]  S. Stenholm,et al.  Laser cooling and trapping , 1988 .

[148]  D. DiVincenzo,et al.  The Physical Implementation of Quantum Computation , 2000, quant-ph/0002077.

[149]  N. Mclachlan.  Theory and Application of Mathieu Functions , 1965 .

[150]  Paul G. Kwiat,et al.  Photonic State Tomography , 2005 .

[151]  C. Monroe,et al.  Precision lifetime measurements of a single trapped ion with ultrafast laser pulses , 2005 .

[152]  D. Griffiths.  Introduction to Electrodynamics , 2017 .

[153]  E. Knill,et al.  Deterministic quantum teleportation of atomic qubits , 2004, Nature.

[154]  P. Ramanujam,et al.  Lifetimes of some excited states in the rare earths: La ii, Ce ii, Pr ii, Nd ii, Sm ii, Yb i, Yb ii, and Lu ii , 1975 .

[155]  P. Maunz,et al.  Probabilistic quantum gates between remote atoms through interference of optical frequency qubits , 2006, quant-ph/0603285.

[156]  S. Olmschenk,et al.  Ion trap in a semiconductor chip , 2006 .

[157]  E. H. Pinnington,et al.  Beam-laser lifetime measurements for four resonance levels of Yb II , 1993 .

[158]  Boris B. Blinov,et al.  Quantum Computing with Trapped Ion Hyperfine Qubits , 2004, Quantum Inf. Process..

[159]  C. Monroe,et al.  Quantum interference of photon pairs from two remote trapped atomic ions , 2006, quant-ph/0608047.

[160]  R. Brewer,et al.  Precision measurements of the lifetime of a single trapped ion with a nonlinear electro-optic switch. , 1994, Optics letters.

[161]  D. Wineland,et al.  Frequency Ratio of Al+ and Hg+ Single-Ion Optical Clocks; Metrology at the 17th Decimal Place , 2008, Science.

[162]  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.

[163]  C. Holmlund,et al.  Frequency Stabilization of a GaAlAs Semiconductor Laser to an Absorption Line of Iodine Vapor , 1992 .

[164]  F. Rambow,et al.  Radiative lifetimes and alignment depolarization cross sections for YbI and II by the Hanle effect in a flowing helium system , 1976 .

[165]  J. Cirac,et al.  Quantum Computations with Cold Trapped Ions. , 1995, Physical review letters.