activity
19962026
most citedNon-adiabatic holonomic quantum computation

400 citations · 2.5k across the 79 of their papers we have counts for

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Showing 2002 · quant-phShow all

6 papers · 2 filters

quant-ph2002

Off-diagonal mixed state phases in unitary evolution

Erik Sjöqvist, Stefan Filipp

Off-diagonal mixed state phases based upon a concept of orthogonality adapted to unitary evolution and a proper normalisation condition are introduced. Some particular instances ar…

quant-ph2002★ 1 cited

Precession and interference in the Aharonov-Casher and scalar Aharonov-Bohm effect

Philipp Hyllus, Erik Sjöqvist

The ideal scalar Aharonov-Bohm (SAB) and Aharonov-Casher (AC) effect involve a magnetic dipole pointing in a certain fixed direction: along a purely time dependent magnetic field i…

quant-ph2002★ 89 cited

Off-diagonal geometric phase for mixed states

Stefan Filipp, Erik Sjöqvist

We extend the off-diagonal geometric phase [Phys. Rev. Lett. {\bf 85}, 3067 (2000)] to mixed quantal states. The nodal structure of this phase in the qubit (two-level) case is comp…

quant-ph2002★ 16 cited

Quantum computation using the Aharonov-Casher set up

Marie Ericsson, Erik Sjöqvist

It is argued that the Aharonov-Casher set up could be used as the basic building block for quantum computation. We demonstrate explicitly in this scenario one- and two-qubit phase…

quant-ph2002★ 101 cited

Generalization of geometric phase to completely positive maps

Marie Ericsson, Erik Sjöqvist, Johan Brännlund +2

We generalize the notion of relative phase to completely positive maps with known unitary representation, based on interferometry. Parallel transport conditions that define the geo…

quant-ph2002★ 69 cited

Mixed state geometric phases, entangled systems, and local unitary transformations

Marie Ericsson, Arun K. Pati, Erik Sjöqvist +2

The geometric phase for a pure quantal state undergoing an arbitrary evolution is a ``memory'' of the geometry of the path in the projective Hilbert space of the system. We find th…