Gateway Schemes of Quantum Control for Spin Networks

Towards the full-fledged quantum computing, what do we need? Obviously, the first thing we need is a (many-body) quantum system, which is reasonably isolated from its environment in order to reduce the unwanted effect of noise, and the second might be a good technique to fully control it. Although we would also need a well-designed quantum code for information processing for fault-tolerant computation, from a physical point of view, the primary requisites are a system and a full control for it. Designing and fabricating a controllable quantum system is a hard work in the first place, however, we shall focus on the subsequent steps that cannot be skipped and are highly nontrivial.

[1]  Alastair Kay,et al.  Computation on spin chains with limited access , 2009, 0905.4070.

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

[3]  D. Cory,et al.  Simulations of information transport in spin chains. , 2007, Physical review letters.

[4]  Seth Lloyd,et al.  Universal quantum interfaces , 2004 .

[5]  P. Joyez,et al.  Manipulating the Quantum State of an Electrical Circuit , 2002, Science.

[6]  Simone Severini,et al.  Nondiscriminatory propagation on trees , 2008, 0805.0181.

[7]  Masoud Mohseni,et al.  Estimation of many-body quantum Hamiltonians via compressive sensing , 2011 .

[8]  Shaun M. Fallat,et al.  Zero forcing parameters and minimum rank problems , 2010, 1003.2028.

[9]  Robert Kosut,et al.  Optimal quantum multiparameter estimation and application to dipole- and exchange-coupled qubits , 2008, 0812.4635.

[10]  Simon Devitt,et al.  Physics-based mathematical models for quantum devices via experimental system identification , 2008 .

[11]  State tomography of a chain of qubits embedded in a spin field-effect transistor via repeated spin-blockade measurements on the edge qubit , 2008, 0806.1032.

[12]  Franco Nori,et al.  Coupling strength estimation for spin chains despite restricted access , 2008, 0810.2866.

[13]  L. Vandersypen,et al.  NMR techniques for quantum control and computation , 2004, quant-ph/0404064.

[14]  Stephen Becker,et al.  Quantum state tomography via compressed sensing. , 2009, Physical review letters.

[15]  M. Neeley.  Process Tomography of Quantum Memory in a Josephson Phase Qubit , 2008 .

[16]  J. Morton,et al.  Measuring errors in single qubit rotations by pulsed electron paramagnetic resonance , 2004, quant-ph/0403226.

[17]  Vittorio Giovannetti,et al.  Local controllability of quantum networks , 2009 .

[18]  E. Wigner,et al.  About the Pauli exclusion principle , 1928 .

[19]  H. Cheong,et al.  Coherent manipulation of electronic States in a double quantum dot. , 2003, Physical review letters.

[20]  Franco Nori,et al.  Indirect quantum tomography of quadratic Hamiltonians , 2010, 1004.5018.

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

[22]  Tobias J Osborne,et al.  Bounds on the speed of information propagation in disordered quantum spin chains. , 2007, Physical review letters.

[23]  E. Wigner,et al.  Über das Paulische Äquivalenzverbot , 1928 .

[24]  A. I. Solomon,et al.  Complete controllability of quantum systems , 2000, quant-ph/0010031.

[25]  Koji Maruyama,et al.  Indirect Hamiltonian identification through a small gateway , 2009, 0903.0612.

[26]  Vittorio Giovannetti,et al.  Full control by locally induced relaxation. , 2007, Physical review letters.

[27]  Janina Maier.  The Fourier Transform And Its Application , 2016 .

[28]  D. D’Alessandro.  Introduction to Quantum Control and Dynamics , 2007 .

[29]  Simon J. Devitt,et al.  Scheme for direct measurement of a general two-qubit Hamiltonian (5 pages) , 2006 .

[30]  Franco Nori,et al.  Scalable quantum computation via local control of only two qubits , 2009, 0905.3373.

[31]  Domenico D'Alessandro,et al.  The Lie algebra structure and controllability of spin systems , 2002 .

[32]  Y. Pashkin,et al.  Coherent control of macroscopic quantum states in a single-Cooper-pair box , 1999, Nature.

[33]  E. Lieb,et al.  Two Soluble Models of an Antiferromagnetic Chain , 1961 .

[34]  Jacob M. Taylor,et al.  Coherent Manipulation of Coupled Electron Spins in Semiconductor Quantum Dots , 2005, Science.

[35]  Ryan R. Martin,et al.  Expected values of parameters associated with the minimum rank of a graph , 2010, 1605.05692.

[36]  R. Brockett,et al.  Time optimal control in spin systems , 2000, quant-ph/0006114.

[37]  B. M. Fulk.  MATH , 1992 .

[38]  C. Buizert,et al.  Driven coherent oscillations of a single electron spin in a quantum dot , 2006, Nature.

[39]  M S Kim,et al.  Hamiltonian tomography in an access-limited setting without state initialization. , 2008, Physical review letters.

[40]  F. Jelezko,et al.  Observation of coherent oscillation of a single nuclear spin and realization of a two-qubit conditional quantum gate. , 2004, Physical review letters.