Built on

W. K. Wootters and W. H. Zurek, “A single quantum cannot be cloned,” Nature
1982
Earlier work this paper cites.
P. Shor, “Algorithms for quantum computation: discrete logarithms and factoring,” Foundations of Computer Science, 1994 Proceedings, 35th Annual Symposium on
1994
Earlier work this paper cites.
A. Barenco, C. H. Bennett, R. Cleve, D. P. DiVincenzo, N. Margolus, P. Shor, T. Sleator, J. A. Smolin, and H. Weinfurter, “Elementary gates for quantum computation,” Phys. Rev. A
1995
Earlier work this paper cites.
M. A. Nielsen and I. L. Chuang, “Programmable Quantum Gate Arrays,” Phys. Rev. Lett
1997
Earlier work this paper cites.
E. Knill and R. Laflamme, “Power of One Bit of Quantum Information,” Phys. Rev. Lett
1998
Earlier work this paper cites.
Cambridge University Press, 2000
M. Nielsen and I. Chuang, Quantum Computation and Quantum Information · 2000
Earlier work this paper cites.

Similar

G. Chiribella, G. M. D’Ariano, and P. Perinotti, “Quantum Circuit Architecture,” Phys. Rev. Lett
Original
2008
Cited alongside, same era.
P. W. Shor and S. P. Jordan, “Estimating Jones polynomials is a complete problem for one clean qubit,” Quantum Info. Comput
Original
2008
Cited alongside, same era.
G. Chiribella, G. M. D’Ariano, and P. Perinotti, “Theoretical framework for quantum networks,” Phys. Rev. A
Original
2009
Cited alongside, same era.
B. P. Lanyon, M. Barbieri, M. P. Almeida, T. Jennewein, T. C. Ralph, K. J. Resch, G. J. Pryde, J. L. O’Brien, A. Gilchrist, and A. G. White, “Simplifying quantum logic using higher-dimensional Hilbert spaces,” Nat. Phys
Original
2009
Cited alongside, same era.
K. Temme, T. J. Osborne, K. G. Vollbrecht, D. Poulin, and F. Verstraete, “Quantum Metropolis sampling,” Nature

Then

G. Chiribella, “Perfect discrimination of no-signalling channels via quantum superposition of causal structures,” Phys. Rev. A
Original
2012
Later among the works it cites.
T. Colnaghi, G. M. D’Ariano, S. Facchini, and P. Perinotti, “Quantum computation with programmable connections between gates,” Phys. Lett. A
Original
2012
Later among the works it cites.
O. Oreshkov, F. Costa, and Č. Brukner, “Quantum correlations with no causal order,” Nat. Commun
Original
2012
Later among the works it cites.
X.-Q. Zhou, P. Kalasuwan, T. C. Ralph, and J. L. O’Brien, “Calculating unknown eigenvalues with a quantum algorithm,” Nature Photonics
Original
2013
Closest in time.
G. Chiribella, G. M. D’Ariano, P. Perinotti, and B. Valiron, “Quantum computations without definite causal structure,” Phys. Rev. A

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2013

Quantum circuits cannot control unknown operations

Araújo, Mateus, Feix, Adrien, Costa, Fabio et al.

Understand

One of the essential building blocks of classical computer programs is the "if" clause, which executes a subroutine depending on the value of a control variable.

Similarly, several quantum algorithms rely on applying a unitary operation conditioned on the state of a control system.
Here we show that this control cannot be performed by a quantum circuit if the unitary is completely unknown.
However, this no-go theorem does not prevent implementing quantum control of unknown unitaries in practice, as any physical implementation of an unknown unitary provides additional information that makes the control possible.

Built on

W. K. Wootters and W. H. Zurek, “A single quantum cannot be cloned,” Nature
1982
Earlier work this paper cites.
P. Shor, “Algorithms for quantum computation: discrete logarithms and factoring,” Foundations of Computer Science, 1994 Proceedings, 35th Annual Symposium on
1994
Earlier work this paper cites.
A. Barenco, C. H. Bennett, R. Cleve, D. P. DiVincenzo, N. Margolus, P. Shor, T. Sleator, J. A. Smolin, and H. Weinfurter, “Elementary gates for quantum computation,” Phys. Rev. A
1995
Earlier work this paper cites.
M. A. Nielsen and I. L. Chuang, “Programmable Quantum Gate Arrays,” Phys. Rev. Lett
1997
Earlier work this paper cites.
E. Knill and R. Laflamme, “Power of One Bit of Quantum Information,” Phys. Rev. Lett
1998
Earlier work this paper cites.
Cambridge University Press, 2000
M. Nielsen and I. Chuang, Quantum Computation and Quantum Information · 2000
Earlier work this paper cites.