1 citations · 3 across the 10 of their papers we have counts for
11 papers
Flagging the Clifford hierarchy:~Fault-tolerant logical rotations via measuring circuit gauge operators of non-Cliffords
Shival Dasu, Ben Criger
We provide a recursively defined sequence of flag circuits which will detect logical errors induced by non-fault-tolerant gates on CSS codes with a…
Computing with many encoded logical qubits beyond break-even
Shival Dasu, Matthew DeCross, Andrew Y. Guo +42
High-rate quantum error correcting (QEC) codes encode many logical qubits in a given number of physical qubits, making them promising candidates for quantum computation. Implementi…
A Classification of Transversal Clifford Gates for Qubit Stabilizer Codes
Shival Dasu, Simon Burton
This work classifies stabilizer codes by the set of diagonal Clifford gates that can be implemented transversally on them. We show that, for any stabilizer code, its group of diago…
Breaking even with magic: demonstration of a high-fidelity logical non-Clifford gate
Shival Dasu, Simon Burton, Karl Mayer +7
Encoding quantum information to protect it from errors is essential for performing large-scale quantum computations. Performing a universal set of quantum gates on encoded states d…
Order-of-magnitude extension of qubit lifetimes with a decoherence-free subspace quantum error correction code
Shival Dasu, Ben Criger, Cameron Foltz +9
Constructing an efficient and robust quantum memory is central to the challenge of engineering feasible quantum computer architectures. Quantum error correction codes can solve thi…
Structural Szemerédi-Trotter for Lattices and their Generalizations
Shival Dasu, Adam Sheffer, Junxuan Shen
We completely characterize point--line configurations with incidences when the point set is a section of the integer lattice. This can be seen as the main special case…
Mixed norm decoupling for paraboloids
Shival Dasu, Hongki Jung, Zane Kun Li +1
We prove the sharp mixed norm decoupling estimate for the paraboloid in dimensions.
Fourier decay for curved Frostman measures
Shival Dasu, Ciprian Demeter
We investigate decoupling for Frostman measures supported on curves with nonzero curvature. We combine this tool with known lower bounds for Furstenberg sets to reprove Orponen's r…
Sharp -improving estimates for the discrete paraboloid
Shival Dasu, Ciprian Demeter, Bartosz Langowski
We prove -improving estimates for the averaging operator along the discrete paraboloid in the sharp range of in all dimensions .
Persistent Topology of Syntax
Alexander Port, Iulia Gheorghita, Daniel Guth +4
We study the persistent homology of the data set of syntactic parameters of the world languages. We show that, while homology generators behave erratically over the whole data set,…
Potts models with magnetic field: arithmetic, geometry, and computation
Shival Dasu, Matilde Marcolli
We give a sheaf theoretic interpretation of Potts models with external magnetic field, in terms of constructible sheaves and their Euler characteristics. We show that the polynomia…