6 papers · 1 filter
Sublogarithmic Distillation in all Prime Dimensions using Punctured Reed-Muller Codes
Tanay Saha, Shiroman Prakash
Magic state distillation is a leading but costly approach to fault-tolerant quantum computation, and it is important to explore all possible ways of minimizing its overhead cost. T…
A Normal Form for Single-Qudit Clifford+ Operators
Akalank Jain, Amolak Ratan Kalra, Shiroman Prakash
We propose a normal form for single-qudit gates composed of Clifford and -gates for qudits of odd prime dimension . We prove that any single-qudit Clifford+ operator…
Qutrit and Ququint Magic States
Akalank Jain, Shiroman Prakash
Non-stabilizer eigenstates of Clifford operators are natural candidates for endpoints of magic state distillation routines. We provide an explicit bestiary of all inequivalent non-…
Magic State Distillation with the Ternary Golay Code
Shiroman Prakash
The ternary Golay code -- one of the first and most beautiful classical error-correcting codes discovered -- naturally gives rise to an 11-qutrit quantum error correcting code. We…
Contextual bound states for qudit magic state distillation
Shiroman Prakash, Aashi Gupta
Identifying necessary and sufficient conditions for universal quantum computing is a long-standing open problem for which contextuality is, perhaps, the only promising solution [Ho…
Normal form for single-qutrit Clifford+T operators and synthesis of single-qutrit gates
Shiroman Prakash, Akalank Jain, Bhakti Kapur +1
We study single-qutrit gates composed of Clifford and gates, using the qutrit version of the gate proposed by Howard and Vala. We propose a normal form for single-qutrit ga…