5 papers
Recovery Algorithm for Correlated Errors in Permutation-Invariant Quantum Codes
Omprakash Chandra, Yingkai Ouyang, Gopikrishnan Muraleedharan +1
Quantum Error Recovery (QER) uses knowledge of the error channel acting on a quantum system to find optimal recovery maps. The scheme restores the uncorrupted state with a fidelity…
A quantum algorithm for one-shot signatures
Gopikrishnan Muraleedharan, Minh Thuy Truc Pham, Vir Pathak +4
We provide a pre-obfuscation circuit-level implementation of an efficient one shot signature scheme, which has known applications to delegated signatures, secured token transfer, a…
Quantum algorithm for solving differential equations using SLAC derivatives
Rakshit M. Gharat, Gopikrishnan Muraleedharan, Dominic W. Berry +1
In numerical approaches to solving differential equations on a lattice, a representation of the derivative operator that correctly matches the continuum behaviour of functions of m…
Efficient quantum algorithm for solving differential equations with Fourier nonlinearity via Koopman linearization
Judd Katz, Gopikrishnan Muraleedharan, Abhijeet Alase
Quantum algorithms offer an exponential advantage with respect to the number of dependent variables for solving certain nonlinear ordinary differential equations (ODEs). These algo…
Non-local resources for error correction in quantum LDPC codes
Omprakash Chandra, Gopikrishnan Muraleedharan, Gavin K. Brennen
Quantum low density parity check (qLDPC) codes are an attractive alternative to the surface code due to their relatively high code rate and distance. However, unlike the surface co…