A Nuclear Spin Valve: Towards the Read-out of Single Nuclear Spin Qubits

We propose a scheme to read out qubits defined in single nuclear spins—addressing one of the main obstacles on the way to a solid state NMR quantum computer. It is based on a “spin valve” between bulk nuclear spin systems that is highly sensitive to the state of the qubit spin. We suggest a concrete realization of that detector in a Si lattice and show that it can be operated over a broad range of experimental parameters. Transport of spin through the proposed spin valve is analogous to that of charge through an electronic nanostructure, but exhibits distinctive new features.

[1]  B. Chui,et al.  Single spin detection by magnetic resonance force microscopy , 2004, Nature.

[2]  S. A. Gurvitz Measurements with a noninvasive detector and dephasing mechanism , 1997 .

[3]  O. N. Godisov,et al.  High Purity Isotopically Enriched 29Si and 30Si Single Crystals: Isotope Separation, Purification, and Growth , 2003 .

[4]  Michel H. Devoret,et al.  Amplifying quantum signals with the single-electron transistor , 2000, Nature.

[6]  C. Santori,et al.  Optical detection of the spin state of a single nucleus in silicon , 2004 .

[7]  E. Fradkin,et al.  Field theories of condensed matter systems , 1991 .

[8]  Magnetization transport and quantized spin conductance. , 2002, Physical review letters.

[9]  J. Wrachtrup,et al.  Optical detection of magnetic resonance in a single molecule , 1993, Nature.

[10]  J. Wrachtrup,et al.  Magnetic resonance on single nuclei , 1997 .

[11]  G P Berman,et al.  Solid-state quantum computer based on scanning tunneling microscopy. , 2001, Physical review letters.

[12]  Y. Makhlin,et al.  Quantum-state engineering with Josephson-junction devices , 2000, cond-mat/0011269.

[13]  E. B. Fel'dman,et al.  Multiple quantum nuclear magnetic resonance in one-dimensional quantum spin chains , 1997 .

[14]  Georges Lampel,et al.  Nuclear Dynamic Polarization by Optical Electronic Saturation and Optical Pumping in Semiconductors , 1968 .

[15]  V. Umansky,et al.  Dephasing in electron interference by a ‘which-path’ detector , 1998, Nature.

[16]  Gurvitz,et al.  Microscopic derivation of rate equations for quantum transport. , 1996, Physical review. B, Condensed matter.

[17]  N. Wingreen,et al.  Dephasing and the Orthogonality Catastrophe in Tunneling through a Quantum Dot: The “Which Path?” Interferometer , 1997, cond-mat/9702001.

[18]  Y Yamamoto,et al.  All-silicon quantum computer. , 2002, Physical review letters.

[19]  Jürgen Köhler,et al.  Magnetic resonance of a single molecular spin , 1993, Nature.

[20]  A J Daley,et al.  Single atom transistor in a 1D optical lattice. , 2004, Physical review letters.

[21]  B. E. Kane A silicon-based nuclear spin quantum computer , 1998, Nature.

[22]  Adiabatic cross-polarization via intermediate dipolar-ordered state. , 2005, Journal of magnetic resonance.

[23]  R. Martinez,et al.  An algorithmic benchmark for quantum information processing , 2000, Nature.

[24]  I. Chuang,et al.  Experimental realization of Shor's quantum factoring algorithm using nuclear magnetic resonance , 2001, Nature.

[25]  Dieter Suter,et al.  Scalable architecture for spin-based quantum computers with a single type of gate , 2002 .

[26]  J. Yesinowski,et al.  1H and 19F Multiple-Quantum NMR Dynamics in Quasi-One-Dimensional Spin Clusters in Apatites , 1996 .

[27]  E. Yablonovitch,et al.  Electrical detection of the spin resonance of a single electron in a silicon field-effect transistor , 2004, Nature.

[28]  D. Cory,et al.  Constant time imaging approaches to NMR microscopy , 1997, Int. J. Imaging Syst. Technol..

[29]  Timothy F. Havel,et al.  NMR Based Quantum Information Processing: Achievements and Prospects , 2000, quant-ph/0004104.

[30]  L. Vandersypen,et al.  Single-shot read-out of an individual electron spin in a quantum dot , 2004, Nature.