601 citations · 875 across the 9 of their papers we have counts for
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No-Signalling Fixes the Hilbert-Space Inner Product
Arun Kumar Pati
We investigate whether the inner product structure of quantum mechanics can be modified without violating fundamental physical principles. We consider a generalized inner product d…
Fractional Contribution of Dynamical and Geometric Phases in Quantum Evolution
Arun Kumar Pati, Vlatko Vedral, Erik Sjoqvist
The fundamental division of the total quantum evolution phase into geometric and dynamical components is a central problem in quantum physics. Here, we prove a remarkably simple an…
Efficient algorithm for fidelity estimation of two quantum states
Anumita Mukhopadhyay, Shibdas Roy, Arun Kumar Pati
The fidelity estimation between two quantum states is crucial for quantum computation and information science. However, an efficacious method for this, especially for mixed states…
Quantifying entanglement in "Experimental entanglement of four particles"
A. K. Pati
We quantify various possible entanglement measures for the four particles GHZ entangled state that has been produced experimentally [C. Sackett et al, Nature 404, 256-259 (2000)].
Reply to `Singularities of the mixed state phase'
J. Anandan, E. Sjöqvist, A. K. Pati +4
The only difference between Bhandari's viewpoint [quant-ph/0108058] and ours [Phys. Rev. Lett. 85, 2845 (2000)] is that our phase is defined modulo , whereas Bhandari argues th…
Geometric phases for mixed states in interferometry
Erik Sjöqvist, Arun K. Pati, Artur Ekert +4
We provide a physical prescription based on interferometry for introducing the total phase of a mixed state undergoing unitary evolution, which has been an elusive concept in the p…
Impossibility of deleting an unknown quantum state
Arun Kumar Pati, Samuel L. Braunstein
A photon in an arbitrary polarization state cannot be cloned perfectly. But suppose that at our disposal we have several copies of an unknown photon. Is it possible to delete the i…
Geometry of the Hilbert space and the Quantum Zeno Effect
A. K. Pati, S. V. Lawande
We show that the quadratic short time behaviour of transition probability is a natural consequence of the inner product of the Hilbert space of the quantum system. We prove that Sc…