Papers & notes

Twelve Lectures on Quantum Error Correction [Download here]  (These lecture notes are intended for readers with a basic background in linear algebra. No prior knowledge of physics or computer science is assumed. The notes may contain typographical errors; please feel free to let me know if you find any.)

Hybrid oscillator-qudit quantum processors: stabilizer states and symplectic operations (Sayan Chakraborty, Victor V Albert), PRX Quantum. [arXiv]

Morita equivalence classes for crossed product of rational rotation algebras (with Kundu). [arXiv]

Enhancing the Harrow-Hassidim-Lloyd (HHL) algorithm in systems with large condition numbers (Peniel Bertrand Tsemo, Akshaya Jayashankar, K Sugisaki, Nishanth Baskaran, Sayan Chakraborty, VS Prasannaa), Physical Review Research. [arXiv]

Smooth Connes--Thom isomorphism, cyclic homology, and equivariant quantisation (with Tang and Yao), Communications in Mathematical Physics. [arXiv]

Symmetrized non-commutative tori revisited, to appear in Journal of Noncommutative Geometry. [Online First] [arXiv]

K-theory of non-commutative Bernoulli Shifts (with Echterhoff, Kranz, and Nishikawa),  Mathematische Annalen. [Online First] [arXiv] 

Appendix to: C. Farsi and N. Watling, Symmetrized noncommutative tori. Math. Ann. 296 (1993), no. 4, 739–741 (with Farsi and Watling), Mathematische Annalen. [Online First]

Higher dimensional Bott classes and the stability of rotation relations (with Hua), Indiana University Mathematics Journal. [arXiv]

Tracing projective modules over noncommutative orbifolds, Journal of Noncommutative Geometry. [arXiv]

A note on crossed products of rotation algebras (with Bönicke, He, and  Liao), Journal of Operator Theory. [arXiv]

Some remarks on K_0 of noncommutative tori, Math. Scand. [arXiv]

Metaplectic transformations and finite group actions on noncommutative tori (with Luef), Journal of Operator Theory. [arXiv]

Tracing cyclic homology pairings under twisting of graded algebras (with Yamashita), Lett. Math. Phys. [arXiv]

Isomorphism and morita equivalence classes for crossed products of irrational rotation algebras by cyclic subgroups of SL_2(Z) (with Bönicke, He, and  Liao),  Journal of Functional Analysis. [arXiv]