Search Results for author: Narayanan Rengaswamy

Found 4 papers, 3 papers with code

Approximate Unitary 3-Designs from Transvection Markov Chains

no code implementations30 Oct 2020 Xinyu Tan, Narayanan Rengaswamy, Robert Calderbank

We construct a graph whose vertices are Pauli matrices, and two vertices are connected by directed edges if and only if they commute.

Quantum Physics

Belief Propagation with Quantum Messages for Quantum-Enhanced Classical Communications

1 code implementation9 Mar 2020 Narayanan Rengaswamy, Kaushik P. Seshadreesan, Saikat Guha, Henry D. Pfister

For space-based laser communications, when the mean photon number per received optical pulse is much smaller than one, there is a large gap between communications capacity achievable with a receiver that performs individual pulse-by-pulse detection, and the quantum-optimal "joint-detection receiver" that acts collectively on long codeword-blocks of modulated pulses; an effect often termed "superadditive capacity".

Quantum Physics Information Theory Information Theory

Logical Clifford Synthesis for Stabilizer Codes

1 code implementation30 Jun 2019 Narayanan Rengaswamy, Robert Calderbank, Swanand Kadhe, Henry D. Pfister

Furthermore, we show that any circuit that normalizes the stabilizer of the code can be transformed into a circuit that centralizes the stabilizer, while realizing the same logical operation.

Quantum Physics Information Theory Information Theory

Synthesis of Logical Clifford Operators via Symplectic Geometry

1 code implementation19 Mar 2018 Narayanan Rengaswamy, Robert Calderbank, Swanand Kadhe, Henry D. Pfister

We propose a mathematical framework for synthesizing physical circuits that implement logical Clifford operators for stabilizer codes.

Information Theory Information Theory Quantum Physics 15Axx, 15B10, 20D45, 51A50, 68R01, 68W01, 81R05, 94B05

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