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Nielsen, M. A. (2006) A geometric approach to quantum circuit lower bounds. Quantum Information & Computation, 6 3: 213-262. 78   26 Cited 24 times in Scopus24
Nielsen, M. A. and Poulin, D. (2007) Algebraic and information-theoretic conditions for operator quantum error correction. Physical Review A: Atomic, Molecular, and Optical Physics, 75 6: 064304-1-064304-4. doi:10.1103/PhysRevA.75.064304 58   9 Cited 8 times in Scopus8 0
Altepeter, Joseph B., Branning, David, Jeffrey, Evan, Wei, T. C., Kwiat, Paul G., Thew, Robert T., O'Brien, Jeremy L., Nielsen, Michael A. and White, Andrew G. (2003) Ancilla-Assisted Quantum Process Tomography. 511 220
Aletepeter, Joseph B., Branning, David, Jeffrey, Evan, Wei, T. C., Kwiat, Paul G., Thew, Robert T., O'Brien, Jeremy L., Nielsen, Michael A. and White, Andrew G. (2003) Ancilla-assisted quantum process tomography. Physical Review Letters, 90 19: 193601-1-193601-4. doi:10.1103/PhysRevLett.90.193601 115   112 Cited 121 times in Scopus121 0
Nielsen, MA (2002) A simple formula for the average gate fidelity of a quantum dynamical operation. Physics Letters A, 303 4: 249-252. doi:10.1016/S0375-9601(02)01272-0 111   111 Cited 112 times in Scopus112 0
Nielsen, MA and Petz, D (2005) A simple proof of the strong subadditivity inequality. Quantum Information & Computation, 5 6: 507-513. 218   14 Cited 15 times in Scopus15
Beckman, D, Gottesman, D, Nielsen, MA and Preskill, J (2001) Causal and localizable quantum operations. Physical Review A, 64 5: . doi:10.1103/PhysRevA.64.052309 34   49 0
Nielsen, MA (2001) Characterizing mixing and measurement in quantum mechanics. Physical Review A, 63 2: . doi:10.1103/PhysRevA.63.022114 54   36 0
Nielsen, Michael A. (2006) Cluster-state quantum computation. Reports On Mathematical Physics, 57 1: 147-161. doi:10.1016/S0034-4877(06)80014-5 64   99 Cited 100 times in Scopus100 15
Gilchrist, Alexei, Langford, Nathan K. and Nielsen, Michael A. (2005) Distance measures to compare real and ideal quantum processes. Physical Review A, 71 6: . doi:10.1103/PhysRevA.71.062310 71   141 Cited 121 times in Scopus121 3
Nielsen, M. (2009) Doing science in the open. Physics World, 22 5: 30-35. 25   4 Cited 10 times in Scopus10
Haselgrove, H. L., Nielsen, M. A. and Osborne, T.J. (2004) Entanglement correlations and the energy gap in many-body quantum systems. Physical Review A, 69 3: 032303-1-032303-11. 41   Cited 19 times in Scopus19
Osborne, Tobias J. and Nielsen, Michael A. (2002) Entanglement in a simple quantum phase transition. Physical Review A, 66 3: 032110-1-032110-14. doi:10.1103/PhysRevA.66.032110 111   787 Cited 771 times in Scopus771 0
Biham, O, Nielsen, M. A. and Osborne, T. J. (2002) Entanglement monotone derived from Gropver's algorithm. Physical Review A, 65 062312: 062313-1-062313-7. doi:10.1103/PhysRevA.65.062312 57   44 Cited 42 times in Scopus42 0
Osborne, T. J. and Nielsen, M. A. (2002) Entanglement, quantum phase transitions, and density matrix renormalization. Quantum Information Processing, 1 1-2: 45-53. 43  
Gu, Mile, Weedbrook, Christian, Perales, Alvaro and Nielsen, Michael A. (2010) Erratum to ``More really is different'' [Physica D 238 (9-10) (2009) 835-839]. Physica D-nonlinear Phenomena, 239 6: 340-340. doi:10.1016/j.physd.2009.12.001 35   0 Cited 0 times in Scopus0 0
Nielsen, Michael A. and Dawson, Christopher M. (2005) Fault-tolerant quantum computation with cluster states. Physical Review A, 71 4: 042323-1-042323-16. doi:10.1103/PhysRevA.71.042323 81   69 Cited 73 times in Scopus73 0
Dawson, C. M. and Nielsen, M. A. (2004) Frustration, interaction strength, and ground-state entanglement in complex quantum systems. Physical Review A, 69 5A: 052316-1-052316-11. 33   Cited 20 times in Scopus20
Bremner, MJ, Dodd, JL, Nielsen, MA and Bacon, D (2004) Fungible dynamics: There are only two types of entangling multiple-qubit interactions. Physical Review A, 69 1: . doi:10.1103/PhysRevA.69.012313 29   18 Cited 17 times in Scopus17 0
Childs, AM, Haselgrove, HL and Nielsen, MA (2003) Lower bounds on the complexity of simulating quantum gates. Physical Review A, 68 5: . doi:10.1103/PhysRevA.68.052311 19   25 Cited 26 times in Scopus26 0
Dawson, C. M., Haselgrove, H. L. and Nielsen, M. A. (2006) Noise thresholds for optical cluster-state quantum computation. Physical Review A, 73 5: 052306-1-052306-26. doi:10.1103/PhysRevA.73.052306 54   38 Cited 36 times in Scopus36 0
Dawson, C. M., Haselgrove, H. L. and Nielsen, M. A. (2006) Noise thresholds for optical quantum computers. Physical Review Letters, 96 2: 020501-1-020501-4. doi:10.1103/PhysRevLett.96.020501 191   61 Cited 62 times in Scopus62 0
Nielsen, M. A. (2001) On the units of bipartite entanglement. Journal of Physics A- Mathematical and General, 34 35: 6987-6995. doi:10.1088/0305-4470/34/35/324 41   10 Cited 9 times in Scopus9 0
Nielsen, MA (2004) Optical quantum computation using cluster states. Physical Review Letters, 93 4: . doi:10.1103/PhysRevLett.93.040503 35   285 Cited 314 times in Scopus314 0
Nielsen, M. A., Dowling, M. R., Gu, M. and Doherty, A. C. (2006) Optimal control, geometry, and quantum computing. Physical Review A, 73 6: 062323-1-062323-7. doi:10.1103/PhysRevA.73.062323 62   34 Cited 31 times in Scopus31 0
Rohde, Peter P., Ralph, Timothy C. and Nielsen, Michael A. (2005) Optimal photons for quantum-information processing. Physical Review A, 72 5: 052332-1-052332-6. doi:10.1103/PhysRevA.72.052332 54   40 Cited 37 times in Scopus37 0
Haselgrove, HL, Nielsen, MA and Osborne, TJ (2003) Practicality of time-optimal two-qubit Hamiltonian simulation. Physical Review A, 68 4: . doi:10.1103/PhysRevA.68.042303 39   8 Cited 7 times in Scopus7 0
Bremner, M. J., Dawson, C. M., Dodd, J. L., Gilchrist, A., Harrow, A. W., Mortimer, D., Nielsen, M. A. and Osborne, T. J. (2002) Practical scheme for quantum computation with any two-qubit entangling gate. Physical Review Letters, 89 24: . doi:10.1103/PhysRevLett.89.247902 56   106 Cited 110 times in Scopus110 1
Nielsen, M. A. and Chuang, I. L. Quantum Computation and Quantum Information. Cambridge, UK: Cambridge University Press, 2000. 72  
Nielsen, Michael A., Dowling, Mark R., Gu, Mile Gu and Doherty, Andrew C. (2006) Quantum computation as geometry. Science, 311 5764: 1133-1135. doi:10.1126/science.1121541 70   55 Cited 56 times in Scopus56 6
Nielsen, MA (2003) Quantum computation by measurement and quantum memory. Physics Letters A, 308 2-3: 96-100. doi:10.1016/S0375-9601(02)01803-0 36   81 Cited 91 times in Scopus91 0
Dawson, CM, Hines, AP, Mortimer, D, Haselgrove, HL, Nielsen, MA and Osborne, TJ (2005) Quantum computing and polynomial equations over the finite field Z(2). Quantum Information & Computation, 5 2: 102-112. 65   13 Cited 14 times in Scopus14
Gu, Mile, Doherty, Andrew and Nielsen, Michael A. (2008) Quantum control via geometry: An explicit example. Physical Review A, 78 3: Article Number: 032327. doi:10.1103/PhysRevA.78.032327 32   5 Cited 5 times in Scopus5 0
Nielsen, Michael A., Dawson, Christopher M., Dodd, Jennifer L., Gilchrist, Alexei, Mortimer, Duncan, Osborne, Tobias J., Bremner, Michael J., Harrow, Aram W. and Hines, Andrew (2003) Quantum dynamics as a physical resource. Physical Review A, 67 5: . doi:10.1103/PhysRevA.67.052301 62   67 Cited 60 times in Scopus60 0
Haselgrove, HL, Nielsen, MA and Osborne, TJ (2003) Quantum states far from the energy eigenstates of any local hamiltonian. Physical Review Letters, 91 21: . doi:10.1103/PhysRevLett.91.210401 47   11 Cited 11 times in Scopus11 0
Harrow, AW and Nielsen, MA (2003) Robustness of quantum gates in the presence of noise. Physical Review A, 68 1: . doi:10.1103/PhysRevA.68.012308 36   47 Cited 47 times in Scopus47 0
Travaglione, BC, Nielsen, MA, Wiseman, HM and Ambainis, A (2002) ROM-based computation: Quantum versus classical. Quantum Information & Computation, 2 4: 324-332. 40   5 Cited 5 times in Scopus5
Nielsen, MA and Kempe, J (2001) Separable states are more disordered globally than locally. Physical Review Letters, 86 22: 5184-5187. doi:10.1103/PhysRevLett.86.5184 29   146 Cited 153 times in Scopus153 0
Dodd, JL and Nielsen, MA (2002) Simple operational interpretation of the fidelity of mixed states. Physical Review A, 66 044301: . doi:10.1103/PhysRevA.66.044301 41   13 Cited 12 times in Scopus12 0
Bremner, MJ, Bacon, D and Nielsen, MA (2005) Simulating Hamiltonian dynamics using many-qudit Hamiltonians and local unitary control. Physical Review A, 71 5: . doi:10.1103/PhysRevA.71.052312 60   10 Cited 5 times in Scopus5 0
Nielsen, Michael A. (2004) The bits that make up the universe: Information: The new language of science. Nature, 427 6969: 16-17. doi:10.1038/427016b 68   0 0
Dowling, Mark R. and Nielsen, Michael A. (2008) The geometry of quantum computation. Quantum Information & Computation, 8 10: 861-899. 32   14 Cited 19 times in Scopus19
Dawson, C. M. and Nielsen, M. A. (2006) The Solovay-Kitaev algorithm. Quantum Information and Computation, 6 1: 81-95. 129   63 Cited 65 times in Scopus65
Childs, AM, Leung, DW and Nielsen, MA (2005) Unified derivations of measurement-based schemes for quantum computation. Physical Review A, 71 3: . doi:10.1103/PhysRevA.71.032318 38   46 Cited 48 times in Scopus48 0
Dodd, JL, Nielsen, MA, Bremner, MJ and Thew, RT (2002) Universal quantum computation and simulation using any entangling Hamiltonian and local unitaries. Physical Review A, 65 040301(R): . doi:10.1103/PhysRevB.65.040301 68   63 Cited 59 times in Scopus59 0
Menicucci, Nicolas C., van Loock,, Peter, Gu, Mile, Weedbrook, Christian, Ralph, Timothy C. and Nielsen, Michael A. (2006) Universal quantum computation with continuous-variable cluster states. Physical Review Letters, 97 11: 110501-1-110501-4. doi:10.1103/PhysRevLett.97.110501 70   177 Cited 182 times in Scopus182 0
Nielsen, MA, Bremner, MJ, Dodd, JL, Childs, AM and Dawson, CM (2002) Universal simulation of Hamiltonian dynamics for quantum systems with finite-dimensional state spaces. Physical Review A, 66 022317: . doi:10.1103/PhysRevA.66.022317 41   43 Cited 43 times in Scopus43 0