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The real symplectic groups in quantum mechanics and optics

- Arvind, B. Dutta, N. Mukunda, R. Simon
- Mathematics
- 5 September 1995

We present a utilitarian review of the family of matrix groups Sp(2n, ℛ), in a form suited to various applications both in optics and quantum mechanics. We contrast these groups and their geometry… Expand

A generalized Pancharatnam geometric phase formula for three-level quantum systems

- Arvind, K. Mallesh, N. Mukunda
- Mathematics
- 29 May 1996

We describe a recently developed generalization of the Poincare sphere method, to represent pure states of a three-level quantum system in a convenient geometrical manner. The construction depends on… Expand

Implementation of a Deutsch-like quantum algorithm utilizing entanglement at the two-qubit level on an NMR quantum-information processor

- K. Dorai, Arvind, Anil Kumar
- Physics
- 22 June 2000

We describe the NMR implementation of a recently proposed quantum algorithm involving quantum entanglement at the level of two qubits. The algorithm solves a generalization of the Deutsch problem,… Expand

Simulating a single-qubit channel using a mixed-state environment

- Geetu Narang, Arvind
- Physics
- 6 November 2006

We analyze the class of single-qubit channels with the environment modeled by a one-qubit mixed state. The set of affine transformations for this class of channels is computed analytically, employing… Expand

Implementing logic gates and the Deutsch-Jozsa quantum algorithm by two-dimensional NMR using spin- and transition-selective pulses.

- T. S. Mahesh, K. Dorai, Arvind, A. Kumar
- PhysicsJournal of magnetic resonance
- 2001

TLDR

Estimation of quantum states by weak and projective measurements

- Debmalya Das, Arvind
- Physics
- 3 February 2014

We explore the possibility of using ``weak'' measurements to carry out quantum state tomography via numerical simulations. Given a fixed number of copies of identically prepared states of a qubit, we… Expand

Bargmann invariants, null phase curves, and a theory of the geometric phase

- N. Mukunda, Arvind, E. Ercolessi, G. Marmo, G. Morandi, R. Simon
- Physics, Mathematics
- 1 April 2003

We present a theory of the geometric phase based logically on the Bargmann invariant of quantum mechanics, and null phase curves in ray space, as the fundamental ingredients. Null phase curves are… Expand

CORRIGENDUM: Non-classical photon statistics for two-mode optical fields

- Arvind, N. Mukunda
- Physics
- 4 September 1995

The non-classical feature of sub-Poissonian photon statistics is extended from one- to two-mode electromagnetic fields, incorporating the physically motivated property of invariance under passive… Expand

Revealing quantum contextuality using a single measurement device by generalizing measurement non-contextuality

- Jaskaran Singh, Arvind
- Business
- 31 January 2021

In this letter we generalize Spekkens’ notion of measurement non-contextuality (NC). We show that any non-contextual ontological model based on this notion of contextuality fails to explain the… Expand

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