53 citations · 259 across the 33 of their papers we have counts for
10 papers · 1 filter
Transversal gates for quantum CSS codes
Eduardo Camps-Moreno, Hiram H. López, Gretchen L. Matthews +2
In this paper, we focus on the problem of computing the set of diagonal transversal gates fixing a CSS code. We determine the logical actions of the gates as well as the groups of…
Linear Time Iterative Decoders for Hypergraph-Product and Lifted-Product Codes
Asit Kumar Pradhan, Nithin Raveendran, Narayanan Rengaswamy +1
Quantum low-density parity-check (QLDPC) codes with asymptotically non-zero rates are prominent candidates for achieving fault-tolerant quantum computation, primarily due to their…
A Semiclassical Proof of Duality Between the Classical BSC and the Quantum PSC
Narayanan Rengaswamy, Henry D. Pfister
In 2018, Renes [IEEE Trans. Inf. Theory, vol. 64, no. 1, pp. 577-592 (2018)] (arXiv:1701.05583) developed a general theory of channel duality for classical-input quantum-output (CQ…
Describing quantum metrology with erasure errors using weight distributions of classical codes
Yingkai Ouyang, Narayanan Rengaswamy
Quantum sensors are expected to be a prominent use-case of quantum technologies, but in practice, noise easily degrades their performance. Quantum sensors can for instance be affli…
On Cyclic Polar Codes and The Burst Erasure Performance of Spatially-Coupled LDPC Codes
Narayanan Rengaswamy
Polar codes were introduced in 2009 and proven to achieve the symmetric capacity of any binary-input discrete memoryless channel under low-complexity successive cancellation decodi…
Classical Coding Problem from Transversal Gates
Narayanan Rengaswamy, Robert Calderbank, Michael Newman +1
Universal quantum computation requires the implementation of a logical non-Clifford gate. In this paper, we characterize all stabilizer codes whose code subspaces are preserved und…
Kerdock Codes Determine Unitary 2-Designs
Trung Can, Narayanan Rengaswamy, Robert Calderbank +1
The non-linear binary Kerdock codes are known to be Gray images of certain extended cyclic codes of length over . We show that exponentiating these $\mathbb…
Synthesis of Logical Clifford Operators via Symplectic Geometry
Narayanan Rengaswamy, Robert Calderbank, Swanand Kadhe +1
Quantum error-correcting codes can be used to protect qubits involved in quantum computation. This requires that logical operators acting on protected qubits be translated to physi…
Finite-Length Analysis of Spatially-Coupled Regular LDPC Ensembles on Burst-Erasure Channels
Vahid Aref, Narayanan Rengaswamy, Laurent Schmalen
Regular spatially-Coupled LDPC (SC-LDPC) ensembles have gained significant interest since they were shown to universally achieve the capacity of binary memoryless channels under lo…
Spatially Coupled LDPC Codes Affected by a Single Random Burst of Erasures
Vahid Aref, Narayanan Rengaswamy, Laurent Schmalen
Spatially-Coupled LDPC (SC-LDPC) ensembles achieve the capacity of binary memoryless channels (BMS), asymptotically, under belief-propagation (BP) decoding. In this paper, we study…