Fetching the paper…
Reading the bibliography…
Quantum computations are easily represented in the graphical notation known as the ZX-calculus, a.k.a.
Applications of negative dimensional tensors
R. Penrose · 1971
Earlier work this paper cites.
An abstract approach to coherence
G.M. Kelly · 1972
Earlier work this paper cites.
Many-variable functorial calculus I
G.M. Kelly · 1972
Earlier work this paper cites.
Coherence for compact closed categories
G.M. Kelly and M.L. Laplaza · 1980
Earlier work this paper cites.
A single quantum cannot be cloned
W. Wootters and W. Zurek · 1982
Earlier work this paper cites.
Natural deduction and coherence for weakly distributive categories
R. F. Blute, J.R.B. Cockett, R.A.G. Seely, and T. H. Trimble · 1991
Earlier work this paper cites.
Teleporting an unknown quantum state via dual classical and EPR channels
C. Bennett, G. Brassard, C. Crepeau, R. Jozsa, A. Peres, and W. Wootters · 1993
Earlier work this paper cites.
Elementary gates for quantum computation
Adriano Barenco, Charles H. Bennett, Richard Cleve, David P. DiVincenzo, Norman Margolus, Peter Shor, Tycho Sleator, John A. Smolin, and Harald Weinfurter · 1995
Earlier work this paper cites.
Proof-nets: the parallel syntax for proof theory
J.-Y. Girard · 1996
Earlier work this paper cites.
Categories for the Working Mathematician (2nd Ed.)
S. Mac Lane · 1997
Earlier work this paper cites.
Quantum teleportation is a universal computational primitive
D Gottesman and I. L. Chuang · 1999
Earlier work this paper cites.
Quantum Computation and Quantum Information
M. A. Nielsen and I. L. Chuang · 2000
Earlier work this paper cites.
Impossibility of deleting an unknown quantum state
A.K. Pati and S. L. Braunstein · 2000
Earlier work this paper cites.
A one-way quantum computer
R. Raussendorf and H. J. Briegel · 2001
Earlier work this paper cites.
Computational model for the one-way quantum computer: Concepts and summary
R. Raussendorf and H. J. Briegel · 2003
Cited alongside, same era.
Measurement-based quantum computation with cluster states
R. Raussendorf, D. E. Browne, and H. J. Briegel · 2003
Cited alongside, same era.
A categorical semantics of quantum protocols
S. Abramsky and B. Coecke · 2004
Cited alongside, same era.
Determinism in the one-way model
V. Danos and E. Kashefi · 2005
Cited alongside, same era.
POVMs and Naimark’s theorem without sums
B. Coecke and E. O. Paquette · 2006
Cited alongside, same era.
Determinism in the one-way model
V. Danos and E. Kashefi · 2006
Cited alongside, same era.
Types for Quantum Computing
Measurement-based quantum computation
H. J. Briegel, D. E. Browne, W. Dür, R. Raussendorf, and M. Van den Nest · 2009
Later among the works it cites.
Graph states and the necessity of Euler decomposition
Ross Duncan and Simon Perdrix · 2009
Later among the works it cites.
Non-locality in Categorical Quantum Mechanics
William Edwards · 2009
Later among the works it cites.
Quantum picturalism
Bob Coecke · 2010
Later among the works it cites.
Classical and quantum structuralism
Bob Coecke, Eric Oliver Paquette, and Dusko Pavlovic · 2010
Later among the works it cites.
Rewriting measurement-based quantum computations with generalised flow
R. Duncan and S. Perdrix · 2010
Later among the works it cites.
Introduction to categories and categorical logic
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
R Duncan · 2006
Cited alongside, same era.
Generalized flow and determinism in measurement-based quantum computation
D.E. Browne, E. Kashefi, M. Mhalla, and S. Perdrix · 2007
Cited alongside, same era.
Quantum measurements without sums
B. Coecke and D. Pavlovic · 2007
Cited alongside, same era.
The measurement calculus
V. Danos, E. Kashefi, and P. Panangaden · 2007
Cited alongside, same era.
An introduction to quantum computing
Phillip Kaye, Raymond Laflamme, and Michele Mosca · 2007
Cited alongside, same era.
Quantum Computer Science
N. David Mermin · 2007
Cited alongside, same era.
Samson Abramsky and Nikos Tzevelekos · 2011
Later among the works it cites.
Interacting quantum observables: Categorical algebra and diagrammatics
Bob Coecke and Ross Duncan · 2011
Later among the works it cites.
Toy quantum categories
Bob Coecke and Bill Edwards · 2011
Later among the works it cites.
Phase groups and the origin of non-locality for qubits
Bob Coecke, Bill Edwards, and R. W. Spekkens · 2011
Later among the works it cites.
Categories for the practicing physicist
Bob Coecke and Eric Oliver Paquette · 2011
Later among the works it cites.
Quantum picturalism for topological cluster-state computing
Clare Horsman · 2011
Later among the works it cites.
A survey of graphical languages for monoidal categories
Peter Selinger · 2011
Later among the works it cites.