44 citations · 73 across the 7 of their papers we have counts for
9 papers
A new degree bound for local unitary and -qubit SLOCC Invariants
Jacob Turner
Deep connections between invariant theory and entanglement have been known for some time and been the object of intense study. This includes the study of local unitary equivalence…
A Finite-Tame-Wild Trichotomy Theorem for Tensor Diagrams
Jacob Turner
In this paper, we consider the problem of determining when two tensor networks are equivalent under a heterogeneous change of basis. In particular, to a string diagram in a certain…
Topological classification of time-asymmetry in unitary quantum processes
Jacob Biamonte, Jacob Turner
Understanding which physical processes are symmetric with respect to time inversion is a ubiquitous problem in physics. In quantum physics, effective gauge fields allow emulation o…
Tensors Masquerading as Matchgates: Relaxing Planarity Restrictions on Pfaffian Circuits
Jacob Turner
Holographic algorithms, alternatively known as Pfaffian circuits, have received a great deal of attention for giving polynomial-time algorithms of -hard problems. Muc…
A Complete Set of Invariants for LU-Equivalence of Density Operators
Jacob Turner, Jason Morton
We show that two density operators of mixed quantum states are in the same local unitary orbit if and only if they agree on polynomial invariants in a certain Noetherian ring for w…
Tensor Network Contractions for #SAT
Jacob D. Biamonte, Jason Morton, Jacob W. Turner
The computational cost of counting the number of solutions satisfying a Boolean formula, which is a problem instance of #SAT, has proven subtle to quantify. Even when finding indiv…