53 citations · 259 across the 33 of their papers we have counts for
24 papers · 1 filter
Towards Block-Level Fault-Tolerant Quantum Simulation on Small High-Rate Non-CSS Codes
Zhuangzhuang Chen, Narayanan Rengaswamy
Small high-rate non-CSS stabilizer codes provide compact platforms for encoded quantum computation, but mixed-Pauli checks and limited native transversal logical gates complicate f…
GHZ is All You Need: Quantum Sensing with VISTA
Oskar Novak, Christos N. Gagatsos, Narayanan Rengaswamy
Quantum metrology holds the potential to enhance magnetic field sensing beyond current limits. However, in the presence of realistic noise, this advantage degrades to the Standard…
Stabilizers for Compiling Logical Circuits under Hardware Constraints
Jack Weinberg, Narayanan Rengaswamy
To implement quantum algorithms on a quantum computer, we must overcome the twin problems of fault-tolerance -- how can we realize a relatively noiseless computation by cleverly co…
Networked Realization of Quantum LDPC Codes
Swayangprabha Shaw, Narayanan Rengaswamy
Quantum low-density parity-check (QLDPC) codes with good parameters are promising candidates for low-overhead fault-tolerant quantum computing, but their non-local stabilizers requ…
Adaptive Entanglement Distillation
Sijie Cheng, Narayanan Rengaswamy
Quantum network applications impose a variety of requirements on entanglement resources in terms of rate, fidelity, latency, and more. The repeaters in the quantum network must com…
Fault Tolerant Quantum Simulation via Symplectic Transvections
Zhuangzhuang Chen, Jack Owen Weinberg, Narayanan Rengaswamy
Conventional approaches to fault-tolerant quantum computing realize logical circuits gate-by-gate, synthesizing each gate independently on one or more code blocks. This incurs exce…
Explaining Robust Quantum Metrology by Counting Codewords
Oskar Novak, Narayanan Rengaswamy
Quantum sensing holds great promise for high-precision magnetic field measurements. However, its performance is significantly limited by noise. The investigation of active quantum…
Tutorial on Quantum Error Correction for 2024 Quantum Information Knowledge (QuIK) Workshop
Priya J. Nadkarni, Narayanan Rengaswamy, Bane Vasić
We provide a brief review of the fundamentals of quantum computation and quantum error correction for the participants of the first Quantum Information Knowledge (QuIK) workshop at…
Quantum Repeater Protocol using Quantum Error Correction for Distillation
Ashlesha Patil, Michele Pacenti, Bane Vasić +2
Bell-state measurement (BSM) on entangled states shared between quantum repeaters is the fundamental operation used to route entanglement in quantum networks. Performing BSMs on We…
GNarsil: Splitting Stabilizers into Gauges
Oskar Novak, Narayanan Rengaswamy
Quantum subsystem codes have been shown to improve error-correction performance, ease the implementation of logical operations on codes, and make stabilizer measurements easier by…
Tailoring Fault-Tolerance to Quantum Algorithms
Zhuangzhuang Chen, Narayanan Rengaswamy
The standard approach to universal fault-tolerant quantum computing is to develop a general purpose quantum error correction mechanism that can implement a universal set of logical…
Entanglement Purification with Quantum LDPC Codes and Iterative Decoding
Narayanan Rengaswamy, Nithin Raveendran, Ankur Raina +1
Recent constructions of quantum low-density parity-check (QLDPC) codes provide optimal scaling of the number of logical qubits and the minimum distance in terms of the code length,…
Soft Syndrome Decoding of Quantum LDPC Codes for Joint Correction of Data and Syndrome Errors
Nithin Raveendran, Narayanan Rengaswamy, Asit Kumar Pradhan +1
Quantum errors are primarily detected and corrected using the measurement of syndrome information which itself is an unreliable step in practical error correction implementations.…
Finite Rate QLDPC-GKP Coding Scheme that Surpasses the CSS Hamming Bound
Nithin Raveendran, Narayanan Rengaswamy, Filip Rozpędek +3
Quantum error correction has recently been shown to benefit greatly from specific physical encodings of the code qubits. In particular, several researchers have considered the indi…
Distilling GHZ States using Stabilizer Codes
Narayanan Rengaswamy, Ankur Raina, Nithin Raveendran +1
Entanglement distillation is a well-studied problem in quantum information, where one typically starts with noisy Bell pairs and distills Bell pairs of higher fidelity. Whi…
Mitigating Coherent Noise by Balancing Weight-2 -Stabilizers
Jingzhen Hu, Qingzhong Liang, Narayanan Rengaswamy +1
Physical platforms such as trapped ions suffer from coherent noise where errors manifest as rotations about a particular axis and can accumulate over time. We investigate passive m…
Approximate Unitary 3-Designs from Transvection Markov Chains
Xinyu Tan, Narayanan Rengaswamy, Robert Calderbank
Unitary -designs are probabilistic ensembles of unitary matrices whose first statistical moments match that of the full unitary group endowed with the Haar measure. In prior…
Un-Weyl-ing the Clifford Hierarchy
Tefjol Pllaha, Narayanan Rengaswamy, Olav Tirkkonen +1
The teleportation model of quantum computation introduced by Gottesman and Chuang (1999) motivated the development of the Clifford hierarchy. Despite its intrinsic value for quantu…
Classical Coding Approaches to Quantum Applications
Narayanan Rengaswamy
Quantum information science strives to leverage the quantum-mechanical nature of our universe in order to achieve large improvements in certain information processing tasks. In dee…
Belief Propagation with Quantum Messages for Quantum-Enhanced Classical Communications
Narayanan Rengaswamy, Kaushik P. Seshadreesan, Saikat Guha +1
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 achievab…
Adaptive Procedures for Discrimination Between Arbitrary Tensor-Product Quantum States
Sarah Brandsen, Mengke Lian, Kevin D. Stubbs +2
Discrimination between quantum states is a fundamental task in quantum information theory. Given two arbitrary tensor-product quantum states (TPQS) $ρ_{\pm} = ρ_{\pm}^{(1)} \otimes…
On Optimality of CSS Codes for Transversal
Narayanan Rengaswamy, Robert Calderbank, Michael Newman +1
In order to perform universal fault-tolerant quantum computation, one needs to implement a logical non-Clifford gate. Consequently, it is important to understand codes that impleme…
Logical Clifford Synthesis for Stabilizer Codes
Narayanan Rengaswamy, Robert Calderbank, Swanand Kadhe +1
Quantum error-correcting codes are used to protect qubits involved in quantum computation. This process requires logical operators, acting on protected qubits, to be translated int…
Unifying the Clifford Hierarchy via Symmetric Matrices over Rings
Narayanan Rengaswamy, Robert Calderbank, Henry D. Pfister
The Clifford hierarchy is a foundational concept for universal quantum computation (UQC). It was introduced to show that UQC can be realized via quantum teleportation, given access…