427 citations · 1.5k across the 32 of their papers we have counts for
36 papers
One generation of the Standard Model as a quantum error-correcting code
Shiroman Prakash, K. L. Ramya
Together with a right-handed neutrino, the fermions of one generation of the Standard Model are labelled by five bits, a combinatorial structure tied to anomaly cancellation. We ma…
Cyclic triorthogonal codes in prime dimension
Shiroman Prakash
We study cyclic triorthogonal codes in prime dimension , on which a transversal third-level diagonal gate acts as a logical non-Clifford gate. For odd , we use a definition o…
Deterministic Hypergraph SYK: Melonic Dominance and Maximal Chaos Without Disorder Averaging
Shiroman Prakash
We show that SYK-like melonic solvability and maximal chaos survive in a sparse deterministic model, without disorder averaging. Our deterministic hypergraph SYK model (hSYK) consi…
Quantum Memory Advantage from Contextuality
Shiroman Prakash
Quantum contextuality is a vital non-classical resource, yet illuminating the precise mechanisms through which it enables unconditional computational advantages remains a challenge…
Chern-Simons propagators in AdS
Jyotirmoy Bhattacharya, Anurag Guria, Shiroman Prakash +2
We introduce parity-odd spin-1 harmonic functions in AdS and study their properties. We demonstrate that such parity-odd harmonics are related to their parity-even counterparts…
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…
Invariant Theory, Magic State Distillation, and Bounds on Classical Codes
Amolak Ratan Kalra, Shiroman Prakash
We show that the physical consistency of magic state distillation imposes new constraints on the weight enumerators of classical error-correcting codes. We establish that for $|T\r…
Fault-Tolerant Implementation of the Deutsch-Jozsa Algorithm
Divyanshu Singh, Shiroman Prakash
We show that one can implement the Deutsch-Josza algorithm, one of the first and simplest quantum algorithms, in a fault-tolerant manner using the smallest quantum error-detecting…
A Search for High-Threshold Qutrit Magic State Distillation Routines
Shiroman Prakash, Rishabh Singhal
Determining the best attainable threshold for qudit magic state distillation is directly related to the question of whether or not contextuality is sufficient for universal quantum…
Low Overhead Qutrit Magic State Distillation
Shiroman Prakash, Tanay Saha
We show that using qutrits rather than qubits leads to a substantial reduction in the overhead cost associated with an approach to fault-tolerant quantum computing known as magic s…
Emergent Supersymmetry at Large
Shiroman Prakash, Shubham Kumar Sinha
We search for infrared fixed points of Gross-Neveu Yukawa models with matrix degrees of freedom in . We consider three models -- a model with symmetry in w…
Crossing Symmetry in Matter Chern-Simons Theories at finite and
Umang Mehta, Shiraz Minwalla, Chintan Patel +2
We present a conjecture for the crossing symmetry rules for Chern-Simons gauge theories interacting with massive matter in dimensions. Our crossing rules are given in terms o…
Spectrum of a Gross-Neveu Yukawa model with flavor disorder in
Shiroman Prakash
We show that a variant of the Gross-Neveu Yukawa model with disorder provides a real, nonsupersymmetric generalization of the Sachdev-Ye Kitaev (SYK) model to three dimensions. The…
Categories of Kirchhoff relations
Robin Cockett, Amolak Ratan Kalra, Shiroman Prakash
It is known that the category of affine Lagrangian relations, AffLagRel_F, over a field, F, of integers modulo a prime p (with p > 2) is isomorphic to the category of stabilizer qu…
Bifundamental Multiscalar Fixed Points in
Samarth Kapoor, Shiroman Prakash
We study fixed-points of scalar fields that transform in the bifundamental representation of in dimensions, generalizing the classic tricritical sextic vect…
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…
Melonic Dominance in Subchromatic Sextic Tensor Models
Shiroman Prakash, Ritam Sinha
We study tensor models based on symmetry groups constructed out of rank- tensors with order- interaction vertices. We refer to those tensor models for which …
An all order exact result for the anomalous dimension of the scalar primary in Chern Simons Vector Models
Sachin Jain, Vinay Malvimat, Abhishek Mehta +2
We present a conjecture for the leading anomalous dimension of the scalar primary operator in Chern-Simons theories coupled to a single fundamental field, to all ord…
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…
Bootstrap and collider physics of parity violating conformal field theories in
Subham Dutta Chowdhury, Justin R. David, Shiroman Prakash
We study the crossing equations in for the four point function of two currents and two scalars including the presence of a parity violating term for the -channel st…
Prismatic Large Models for Bosonic Tensors
Simone Giombi, Igor R. Klebanov, Fedor Popov +2
We study the symmetric quantum field theory of a bosonic tensor with sextic interactions. Its large limit is dominated by a positive-definite operator, whose…
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…