Fetching the paper…
Reading the bibliography…
The Turaev-Viro invariants are scalar topological invariants of three-dimensional manifolds.
Topological quantum field theories
Michael Atiyah · 1988
Earlier work this paper cites.
Topology of shadows
V. G. Turaev · 1991
Earlier work this paper cites.
On Witten’s 3-manifold invariants
Kevin Walker · 1991
Earlier work this paper cites.
Quantum invariants of knots and 3-manifolds
V. G. Turaev · 1994
Earlier work this paper cites.
Skein theory and Turaev-Viro invariants
Justin D. Roberts · 1995
Earlier work this paper cites.
Power of one bit of quantum information
E. Knill and R. Laflamme · 1998
Earlier work this paper cites.
Computing with highly mixed states
Andris Ambainis, Leonard J. Schulman, and Umesh Vazirani · 2000
Earlier work this paper cites.
Quantum Computation and Quantum Information
Michael A. Nielsen and Isaac L. Chuang · 2000
Earlier work this paper cites.
Quantum computation and quadratically signed weight enumerators
E. Knill and R. Laflamme · 2001
Earlier work this paper cites.
Simulation of topological field theories by quantum computers
Michael Freedman, Alexei Kitaev, and Zhenghan Wang · 2002
Earlier work this paper cites.
A modular functor which is universal for quantum computation
Michael Freedman, Michael Larsen, and Zhenghan Wang · 2002
Cited alongside, same era.
The two-eigenvalue problem and density of Jones representation of braid groups
Michael H. Freedman, Michael J. Larsen, and Zhenghan Wang · 2002
Cited alongside, same era.
Entanglement and the power of one qubit
Animesh Datta, Steven T. Flammia, and Carlton M. Caves · 2005
Cited alongside, same era.
A polynomial quantum algorithm for approximating the Jones polynomial
Dorit Aharonov, Vaughan Jones, and Zeph Landau · 2006
Cited alongside, same era.
Computation with unitaries and one pure qubit
Dan Shepherd · 2006
Cited alongside, same era.
On the role of entanglement and correlations in mixed-state quantum computation
Animesh Datta and Guifre Vidal · 2007
Cited alongside, same era.
Estimating Jones polynomials is complete for one clean qubit
Peter W. Shor and Stephen P. Jordan · 2008
Later among the works it cites.
The Jones polynomial: quantum algorithms and applications in quantum complexity theory
Pawel Wocjan and Jon Yard · 2008
Later among the works it cites.
Signatures of non-classicality in mixed-state quantum computation
Animesh Datta and Sevag Gharibian · 2009
Later among the works it cites.
Efficient quantum processing of three-manifold topological invariants
S. Garnerone, A. Marzuoli, and M. Rasetti · 2009
Later among the works it cites.
Estimating Jones and HOMFLY polynomials with one clean qubit
Stephen P. Jordan and Pawel Wocjan · 2009
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Entanglement Theory and the Quantum Simulation of Many-Body Physics
Fernando Brandão · 2008
Cited alongside, same era.
Studies on the Role of Entanglement in Mixed-state Quantum Computation
Animesh Datta · 2008
Cited alongside, same era.
Quantum discord and the power of one qubit
Animesh Datta, Anil Shaji, and Carlton M. Caves · 2008
Cited alongside, same era.
Using measurement-induced disturbance to correlations as classical or quantum
Shunlong Luo · 2008
Cited alongside, same era.
NMR quantum calculations of the Jones polynomial
Raimund Marx, Amr Fahmy, Louis Kauffman, Samuel Lomonaco, Andreas Spörl, Nikolas Pomplun, John Myers, and Steffen J. Glaser · 2009
Later among the works it cites.
Experimental approximation of the Jones polynomial with DQC1
G. Passante, O. Moussa, C. A. Ryan, and R. Laflamme · 2009
Later among the works it cites.
Approximating Turaev-Viro 3-manifold invariants is universal for quantum computation
Gorjan Alagic, Stephen Jordan, Robert König, and Ben Reichardt · 2010
Later among the works it cites.
The BQP-hardness of approximating the Jones polynomial
Dorit Aharonov and Itai Arad · 2011
Closest in time.