26 citations · 104 across the 13 of their papers we have counts for
13 papers
Entanglement in cyclic sign invariant quantum states
Aabhas Gulati, Ion Nechita, Satvik Singh
We introduce and study bipartite quantum states that are invariant under the local action of the cyclic sign group. Due to symmetry, these states are sparse and can be parameterize…
Simultaneous superadditivity of the direct and complementary channel capacities
Satvik Singh, Sergii Strelchuk
Quantum communication channels differ from their classical counterparts because their capacities can be superadditive. The principle of monogamy of entanglement suggests that super…
Fully undistillable quantum states are separable
Satvik Singh, Nilanjana Datta
Assume that Alice, Bob, and Charlie share a tripartite pure state . We prove that if Alice cannot distill entanglement with either Bob or Charlie using $|ψ_{ABC}\r…
Ergodic theory of diagonal orthogonal covariant quantum channels
Satvik Singh, Nilanjana Datta, Ion Nechita
We analyze the ergodic properties of quantum channels that are covariant with respect to diagonal orthogonal transformations. We prove that the ergodic behaviour of a channel in th…
Bi-PPT channels are entanglement breaking
Alexander Müller-Hermes, Satvik Singh
In a recent paper, Hirche and Leditzky introduced the notion of bi-PPT channels which are quantum channels that stay completely positive under composition with a transposition and…
Diagonal unitary and orthogonal symmetries in quantum theory II: Evolution operators
Satvik Singh, Ion Nechita
We study bipartite unitary operators which stay invariant under the local actions of diagonal unitary and orthogonal groups. We investigate structural properties of these operators…
Coherent information of a quantum channel or its complement is generically positive
Satvik Singh, Nilanjana Datta
The task of determining whether a given quantum channel has positive capacity to transmit quantum information is a fundamental open problem in quantum information theory. In genera…
Detecting positive quantum capacities of quantum channels
Satvik Singh, Nilanjana Datta
Determining whether a noisy quantum channel can be used to reliably transmit quantum information at a non-zero rate is a challenging problem in quantum information theory. This is…
How to define your dimension: A discourse on Hausdorff dimension and self-similarity
Satvik Singh
One often distinguishes between a line and a plane by saying that the former is one-dimensional while the latter is two. But, what does it mean for an object to have dimensions…
The PPT conjecture holds for all Choi-type maps
Satvik Singh, Ion Nechita
We prove that the PPT conjecture holds for linear maps between matrix algebras which are covariant under the action of the diagonal unitary group. Many salient examples, like t…
Can entanglement hide behind triangle-free graphs?
Satvik Singh
We present an alternative approach to unveil a different kind of entanglement in bipartite quantum states whose diagonal zero patterns in suitable matrix representations admit a ni…
Diagonal unitary and orthogonal symmetries in quantum theory
Satvik Singh, Ion Nechita
We analyze bipartite matrices and linear maps between matrix algebras, which are respectively, invariant and covariant, under the diagonal unitary and orthogonal groups' actions. B…
A graphical calculus for integration over random diagonal unitary matrices
Ion Nechita, Satvik Singh
We provide a graphical calculus for computing averages of tensor network diagrams with respect to the distribution of random vectors containing independent uniform complex phases.…