Universal quantum walks and adiabatic algorithms by 1D Hamiltonians
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[1] John Watrous,et al. On one-dimensional quantum cellular automata , 1995, Proceedings of IEEE 36th Annual Foundations of Computer Science.
[2] Julia Kempe,et al. The Complexity of the Local Hamiltonian Problem , 2004, FSTTCS.
[3] Yaoyun Shi. Both Toffoli and controlled-NOT need little help to do universal quantum computing , 2003, Quantum Inf. Comput..
[4] Ben Reichardt,et al. Fault-Tolerant Quantum Computation , 2016, Encyclopedia of Algorithms.
[5] A. Kitaev. Quantum computations: algorithms and error correction , 1997 .
[6] A. Barenco. A universal two-bit gate for quantum computation , 1995, Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences.
[7] Pawel Wocjan,et al. Ergodic Quantum Computing , 2005, Quantum Inf. Process..
[8] R. Feynman. Quantum mechanical computers , 1986 .
[9] DiVincenzo. Two-bit gates are universal for quantum computation. , 1994, Physical review. A, Atomic, molecular, and optical physics.
[10] Seth Lloyd,et al. Adiabatic quantum computation is equivalent to standard quantum computation , 2004, 45th Annual IEEE Symposium on Foundations of Computer Science.
[11] Tobias J. Osborne. The Dynamics of 1D Quantum Spin Systems Can Be Approximated Efficiently , 2005 .
[12] J. Cirac,et al. Quantum simulators, continuous-time automata, and translationally invariant systems. , 2007, Physical review letters.
[13] P. Oscar Boykin,et al. A new universal and fault-tolerant quantum basis , 2000, Inf. Process. Lett..
[14] Charles R. Johnson,et al. Matrix analysis , 1985, Statistical Inference for Engineers and Data Scientists.
[15] A. Kitaev. Fault tolerant quantum computation by anyons , 1997, quant-ph/9707021.
[16] Dorit Aharonov,et al. Fault-tolerant quantum computation with constant error , 1997, STOC '97.
[17] Sandy Irani,et al. The Power of Quantum Systems on a Line , 2007, 48th Annual IEEE Symposium on Foundations of Computer Science (FOCS'07).
[18] R. Landauer. The physical nature of information , 1996 .
[19] A. Turing,et al. On Computable Numbers, with an Application to the Entscheidungsproblem. A Correction , 1938 .
[20] Daniel A. Lidar,et al. Towards fault tolerant adiabatic quantum computation. , 2007, Physical review letters.
[21] Daniel A. Spielman,et al. Exponential algorithmic speedup by a quantum walk , 2002, STOC '03.
[22] Pawel Wocjan,et al. Hamiltonian quantum cellular automata in one dimension , 2008, 0802.0886.
[23] Dorit Aharonov,et al. Fault-tolerant Quantum Computation with Constant Error Rate * , 1999 .
[24] Barbara M. Terhal,et al. The complexity of quantum spin systems on a two-dimensional square lattice , 2008, Quantum Inf. Comput..
[25] D. Janzing. Spin- 1 ∕ 2 particles moving on a two-dimensional lattice with nearest-neighbor interactions can realize an autonomous quantum computer , 2005, quant-ph/0506270.
[26] Noah Linden,et al. Propagation of quantum information through a spin system , 2004 .
[27] D J Shepherd,et al. Universally programmable quantum cellular automaton. , 2006, Physical review letters.
[28] Thierry Paul,et al. Quantum computation and quantum information , 2007, Mathematical Structures in Computer Science.
[29] E. Farhi,et al. Quantum computation and decision trees , 1997, quant-ph/9706062.
[30] Matthias Christandl,et al. Perfect Transfer of Arbitrary States in Quantum Spin Networks , 2005 .
[31] D. Deutsch. Quantum computational networks , 1989, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.
[32] Lloyd,et al. Almost any quantum logic gate is universal. , 1995, Physical review letters.
[33] T. Osborne. Efficient approximation of the dynamics of one-dimensional quantum spin systems. , 2006, Physical review letters.
[34] D. Meyer. From quantum cellular automata to quantum lattice gases , 1996, quant-ph/9604003.
[35] A. Turing. On Computable Numbers, with an Application to the Entscheidungsproblem. , 1937 .
[36] V. Roychowdhury,et al. On Universal and Fault-Tolerant Quantum Computing , 1999, quant-ph/9906054.
[37] Matthias Christandl,et al. Perfect state transfer in quantum spin networks. , 2004, Physical review letters.
[38] Wolfgang Spitzer,et al. Improved Gap Estimates for Simulating Quantum Circuits by Adiabatic Evolution , 2007, Quantum Inf. Process..
[39] Andrew Chi-Chih Yao,et al. Quantum Circuit Complexity , 1993, FOCS.