20 citations · 63 across the 15 of their papers we have counts for
13 papers · 1 filter
Wigner's Theorem for stabilizer states and quantum designs
Valentin Obst, Arne Heimendahl, Tanmay Singal +1
We describe the symmetry group of the stabilizer polytope for any number of systems and any prime local dimension . In the qubit case, the symmetry group coincides with the…
Counting stabiliser codes for arbitrary dimension
Tanmay Singal, Che Chiang, Eugene Hsu +3
In this work, we compute the number of stabilizer codes made up of -dimensional qudits, for arbitrary positive integers . In a seminal work by Gross (Ref. [23]) t…
Approximate 3-designs and partial decomposition of the Clifford group representation using transvections
Tanmay Singal, Min-Hsiu Hsieh
We study a scheme to implement an asymptotic unitary 3-design. The scheme implements a random Pauli once followed by the implementation of a random transvection Clifford by using s…
Implementation of quantum measurements using classical resources and only a single ancillary qubit
Tanmay Singal, Filip B. Maciejewski, Michał Oszmaniec
We propose a scheme to implement general quantum measurements, also known as Positive Operator Valued Measures (POVMs) in dimension using only classical resources and a single…
Single-Copy Certification of Two-Qubit Gates without Entanglement
Yujun Choi, Tanmay Singal, Young-Wook Cho +5
A quantum state transformation can be generally approximated by single- and two-qubit gates. This, however, does not hold with noisy intermediate-scale quantum technologies due to…
A Structure of Minimum Error Discrimination for Linearly Independent States
Tanmay Singal, Eunsang Kim, Sibasish Ghosh
In this paper we study the Minimum Error Discrimination problem (MED) for ensembles of linearly independent (LI) states. We define a bijective map from the set of those ensembles t…
Detecting Noisy Channels by Channel Discrimination : Local versus Entangled Resources
Joonwoo Bae, Tanmay Singal
Dynamics of many-qubit systems, that may correspond to computational processing with quantum systems, can be efficiently and generally approximated by a sequence of two- and single…
Preserving Measurements for Optimal State Discrimination over Quantum Channels
Spiros Kechrimparis, Tanmay Singal, Chahan M. Kropf +1
In this work, we consider optimal state discrimination for a quantum system that interacts with an environment, i.e., states evolve under a quantum channel. We show the conditions…
Framework for distinguishability of orthogonal bipartite states by one-way local operations and classical communication
Tanmay Singal
In the topic of perfect local distinguishability of orthogonal multipartite quantum states, most results obtained so far pertain to bipartite systems whose subsystems are of specif…
Necessary Condition for Local Distinguishability of Maximally Entangled States: Beyond Orthogonality Preservation
Tanmay Singal, Ramij Rahman, Sibasish Ghosh +1
The (im)possibility of local distinguishability of orthogonal multipartite quantum states still remains an intriguing question. Beyond , the pr…
Algebraic Structure of the Minimum Error Discrimination Problem for Linearly Independent Density Matrices
Tanmay Singal, Sibasish Ghosh
The minimum error discrimination problem for ensembles of linearly independent pure states are known to have an interesting structure; for such a given ensemble the optimal POVM is…
Minimum Error Discrimination for an Ensemble of Linearly Independent Pure States
Tanmay Singal, Sibasish Ghosh
Inspired by the work done by Belavkin [Belavkin V. P., Stochastics, 1, 315 (1975)], and independently by Mochon, [Phys. Rev. A 73, 032328, (2006)], we formulate the problem of mini…
Minimum Error Discrimination of Linearly Independent Pure States: Analytic Properties of POVM
Tanmay Singal, Sibasish Ghosh
The optimization conditions for minimum error discrimination of linearly independent pure states comprise of two kinds: stationary conditions over the space of rank one projective…