Exponential separation between shallow quantum circuits and unbounded fan-in shallow classical circuits

Author:

Watts Adam Bene1,Kothari Robin2,Schaeffer Luke1,Tal Avishay3

Affiliation:

1. Massachusetts Institute of Technology, USA

2. Microsoft Research, USA

3. Stanford University, USA

Funder

NSF

Publisher

ACM

Reference40 articles.

1. Miklos Ajtai. 1983. Miklos Ajtai. 1983.

2. Σ 1 1 -formulae on finite structures. Annals of Pure and Applied Logic 24 (1983) 1–48. 0072(83)90038- 6 Σ 1 1 -formulae on finite structures. Annals of Pure and Applied Logic 24 (1983) 1–48. 0072(83)90038- 6

3. Small depth quantum circuits

4. Juan Bermejo-Vega Dominik Hangleiter Martin Schwarz Robert Raussendorf and Jens Eisert. 2018. Architectures for Quantum Simulation Showing a Quantum Speedup. Physical Review X 8 (Apr 2018) 021010. Issue 2. 1103/PhysRevX.8.021010 Juan Bermejo-Vega Dominik Hangleiter Martin Schwarz Robert Raussendorf and Jens Eisert. 2018. Architectures for Quantum Simulation Showing a Quantum Speedup. Physical Review X 8 (Apr 2018) 021010. Issue 2. 1103/PhysRevX.8.021010

5. Gilles Brassard Anne Broadbent and Alain Tapp. 2005. Recasting Mermin’s Multiplayer Game into the Framework of Pseudo-telepathy. Quantum Information & Computation 5 7 (Nov. 2005) 538–550. http://dl.acm.org/citation.cfm?id= 2011656.2011658 Gilles Brassard Anne Broadbent and Alain Tapp. 2005. Recasting Mermin’s Multiplayer Game into the Framework of Pseudo-telepathy. Quantum Information & Computation 5 7 (Nov. 2005) 538–550. http://dl.acm.org/citation.cfm?id= 2011656.2011658

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