Fetching the paper…
Reading the bibliography…
Universality of local unitary transformations is one of the cornerstones of quantum computing with many applications and implications that go beyond this field.
V. Jurdjevic and H. J. Sussmann, Control systems on lie groups, Journal of Differential equations 12
1972
Earlier work this paper cites.
D. P. DiVincenzo, Two-bit gates are universal for quantum computation, Physical Review A 51
1995
Earlier work this paper cites.
S. Lloyd, Almost any quantum logic gate is universal, Physical Review Letters 75
1995
Earlier work this paper cites.
D. E. Deutsch, A. Barenco, and A. Ekert, Universality in quantum computation, Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences 449
1995
Earlier work this paper cites.
D. Loss and D. P. DiVincenzo, Quantum computation with quantum dots, Physical Review A 57
1998
Earlier work this paper cites.
D. A. Lidar, I. L. Chuang, and K. B. Whaley, Decoherence-free subspaces for quantum computation, Physical Review Letters 81
1998
Earlier work this paper cites.
D. P. DiVincenzo, D. Bacon, J. Kempe, G. Burkard, and K. B. Whaley, Universal quantum computation with the exchange interaction, Nature 408
2000
Earlier work this paper cites.
D. Bacon, J. Kempe, D. A. Lidar, and K. B. Whaley, Universal fault-tolerant quantum computation on decoherence-free subspaces, Phys. Rev. Lett. 85
2000
Earlier work this paper cites.
D. Janzing, P. Wocjan, R. Zeier, R. Geiss, and T. Beth, Thermodynamic cost of reliability and low temperatures: tightening Landauer’s principle and the Second Law, Int. J. Theor. Phys. 39
2000
Earlier work this paper cites.
D. Bacon, J. Kempe, D. P. DiVincenzo, D. A. Lidar, and K. B. Whaley, Encoded universality in physical implementations of a quantum computer, in Proceedings of the 1st International Conference on Experimental Implementations of Quantum Computation, Sydney, Australia , edited by R. Clark (Rinton, Princeton, NJ, 2001) p. 257, quant-ph/0102140
2001
Earlier work this paper cites.
J. Kempe, D. Bacon, D.P. DiVincenzo and K.B. Whaley, Encoded Universality from a Single Physical Interaction, 1
2001
Earlier work this paper cites.
J. Kempe, D. Bacon, D. A. Lidar, and K. B. Whaley, Theory of decoherence-free fault-tolerant universal quantum computation, Physical Review A 63
2001
Earlier work this paper cites.
D. Bacon, K. R. Brown, and K. B. Whaley, Coherence-preserving quantum bits, Physical Review Letters 87
2001
Earlier work this paper cites.
P. Zanardi, Virtual quantum subsystems, Physical Review Letters 87
2001
Earlier work this paper cites.
J. Levy, Universal quantum computation with spin-1/2 pairs and heisenberg exchange, Physical Review Letters 89
2002
Earlier work this paper cites.
J.-L. Brylinski and R. Brylinski, Universal quantum gates, Mathematics of quantum computation 79
2002
Earlier work this paper cites.
P. Giorda, P. Zanardi, and S. Lloyd, Universal quantum control in irreducible state-space sectors: Application to bosonic and spin-boson systems, Physical Review A 68
2003
Earlier work this paper cites.
P. Zanardi and S. Lloyd, Universal control of quantum subspaces and subsystems, Physical Review A 69
2004
Earlier work this paper cites.
T. Rudolph and S. S. Virmani, A relational quantum computer using only two-qubit total spin measurement and an initial supply of highly mixed single-qubit states, New Journal of Physics 7
2005
Cited alongside, same era.
S. D. Bartlett, T. Rudolph, and R. W. Spekkens, Reference frames, superselection rules, and quantum information, Reviews of Modern Physics 79
2007
Cited alongside, same era.
D. d’Alessandro, Introduction to quantum control and dynamics (CRC press, 2007)
2007
Cited alongside, same era.
I. Marin, L’algèbre de lie des transpositions, Journal of Algebra 310
2007
Cited alongside, same era.
I. Marvian and R. Mann, Building all time evolutions with rotationally invariant hamiltonians, Physical Review A 78
2008
Cited alongside, same era.
I. Marvian and S. Lloyd, Universal quantum emulator, arXiv preprint arXiv:1606.02734 (2016)
2016
Later among the works it cites.
H. Pichler, G. Zhu, A. Seif, P. Zoller, and M. Hafezi, Measurement protocol for the entanglement spectrum of cold atoms, Physical Review X 6
2016
Later among the works it cites.
M. Lostaglio, D. Jennings, and T. Rudolph, Thermodynamic resource theories, non-commutativity and maximum entropy principles, New Journal of Physics 19
2017
Later among the works it cites.
S. Kimmel, C. Y.-Y. Lin, G. H. Low, M. Ozols, and T. J. Yoder, Hamiltonian simulation with optimal sample complexity, npj Quantum Information 3
2017
Later among the works it cites.
Y. Yang, G. Chiribella, and Q. Hu, Units of rotational information, New Journal of Physics 19
2017
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
G. Gour and R. W. Spekkens, The resource theory of quantum reference frames: manipulations and monotones, New Journal of Physics 10
2008
Cited alongside, same era.
X. Chen, Z.-C. Gu, and X.-G. Wen, Local unitary transformation, long-range quantum entanglement, wave function renormalization, and topological order, Physical review b 82
2010
Cited alongside, same era.
2010
Cited alongside, same era.
X. Chen, Z.-C. Gu, and X.-G. Wen, Classification of gapped symmetric phases in one-dimensional spin systems, Physical review b 83
2011
Cited alongside, same era.
I. Marvian, Symmetry, Asymmetry and Quantum Information, PhD thesis , Ph.D. thesis, University of Waterloo, https://uwspace.uwaterloo.ca/handle/10012/7088 (2012)
2012
Cited alongside, same era.
M. Horodecki and J. Oppenheim, Fundamental limitations for quantum and nanoscale thermodynamics, Nat. Commun. 4
2013
Cited alongside, same era.
F. G. Brandao, M. Horodecki, J. Oppenheim, J. M. Renes, and R. W. Spekkens, Resource theory of quantum states out of thermal equilibrium, Physical review letters 111
2013
Cited alongside, same era.
V. Khemani, A. Vishwanath, and D. A. Huse, Operator spreading and the emergence of dissipative hydrodynamics under unitary evolution with conservation laws, Physical Review X 8
2018
Later among the works it cites.
E. Chitambar and G. Gour, Quantum resource theories, Reviews of Modern Physics 91
2019
Later among the works it cites.
F. K. Malinowski, F. Martins, T. B. Smith, S. D. Bartlett, A. C. Doherty, P. D. Nissen, S. Fallahi, G. C. Gardner, M. J. Manfra, C. M. Marcus, et al. , Fast spin exchange across a multielectron mediator, Nature communications 10
2019
Later among the works it cites.
P. Faist, S. Nezami, V. V. Albert, G. Salton, F. Pastawski, P. Hayden, and J. Preskill, Continuous symmetries and approximate quantum error correction, Physical Review X 10
2020
Later among the works it cites.
2020
Later among the works it cites.
2021
Later among the works it cites.
P. Hayden, S. Nezami, S. Popescu, and G. Salton, Error correction of quantum reference frame information, PRX Quantum. 2
2021
Later among the works it cites.
2021
Later among the works it cites.
I. Marvian, Restrictions on realizable unitary operations imposed by symmetry and locality, Nature Physics , 1 (2022)
2022
Closest in time.
Á. M. Alhambra, Forbidden by symmetry, Nature Physics , 1 (2022)
2022
Closest in time.
M. Kjaergaard, M. Schwartz, A. Greene, G. Samach, A. Bengtsson, M. O’Keeffe, C. McNally, J. Braumüller, D. Kim, P. Krantz, et al. , Demonstration of density matrix exponentiation using a superconducting quantum processor, Physical Review X 12
2022
Closest in time.
H. Liu, A. Hulse, and I. Marvian, Under preparation, (2022)
2022
Closest in time.