23 citations · 29 across the 11 of their papers we have counts for
11 papers
Enhanced quantum capacity thresholds from symmetry
Avantika Agarwal, Amolak Ratan Kalra, Sungjai Lee +4
The quantum capacity captures the value of a quantum channel for transmitting quantum information, establishing the fundamental limits on quantum communication. In spite of its cen…
On Error Thresholds for Pauli Channels: Some answers with many more questions
Avantika Agarwal, Alan Bu, Amolak Ratan Kalra +3
This paper focuses on error thresholds for Pauli channels. We numerically compute lower bounds for the thresholds using the analytic framework of coset weight enumerators pioneered…
Buildings for Synthesis with Clifford+R
Mark Deaconu, Nihar Gargava, Amolak Ratan Kalra +2
We study the problem of exact synthesis for the Clifford+R gate set and give the explicit structure of the underlying Bruhat-Tits building for this group. In this process, we also…
Stabilizer Ranks, Barnes Wall Lattices and Magic Monotones
Amolak Ratan Kalra, Pulkit Sinha
In 2024, Kliuchnikov and Schönnenbeck showed a connection between the Barnes Wall lattices, stabilizer states and Clifford operations. In this work, we study their results and rela…
Invariant Theory, Magic State Distillation, and Bounds on Classical Codes
Amolak Ratan Kalra, Shiroman Prakash
We show that the physical consistency of magic state distillation imposes new constraints on the weight enumerators of classical error-correcting codes. We establish that for $|T\r…
Multi-qutrit exact synthesis
Amolak Ratan Kalra, Manimugdha Saikia, Dinesh Valluri +2
We present an exact synthesis algorithm for qutrit unitaries in over the Clifford gate set with at most one ancilla. This extends…
Synthesis and Arithmetic of Single Qutrit Circuits
Amolak Ratan Kalra, Michele Mosca, Dinesh Valluri
In this paper we study single qutrit circuits consisting of words over the Clifford cyclotomic gate set, where , is a primitive $…
Normalizing Resistor Networks
Robin Cockett, Amolak Ratan Kalra, Priyaa Varshinee Srinivasan
Star to mesh transformations are well-known in electrical engineering, and are reminiscent of local complementation for graph states in qudit stabilizer quantum mechanics. This pap…
Categories of Kirchhoff relations
Robin Cockett, Amolak Ratan Kalra, Shiroman Prakash
It is known that the category of affine Lagrangian relations, AffLagRel_F, over a field, F, of integers modulo a prime p (with p > 2) is isomorphic to the category of stabilizer qu…
A Normal Form for Single-Qudit Clifford+ Operators
Akalank Jain, Amolak Ratan Kalra, Shiroman Prakash
We propose a normal form for single-qudit gates composed of Clifford and -gates for qudits of odd prime dimension . We prove that any single-qudit Clifford+ operator…
Demonstration of the No-Hiding Theorem on the 5 Qubit IBM Quantum Computer in a Category Theoretic Framework
Amolak Ratan Kalra, Navya Gupta, Bikash K. Behera +2
Quantum no-Hiding theorem, first proposed by Braunstein and Pati [Phys. Rev. Lett. 98, 080502 (2007)], was verified experimentally by Samal et al. [Phys. Rev. Lett. 186, 080401 (20…