690 citations · 5.8k across the 154 of their papers we have counts for
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Quantizing the Quantum Uncertainty
Etera R. Livine
The spread of the wave-function, or quantum uncertainty, is a key notion in quantum mechanics. At leading order, it is characterized by the quadratic moments of the position and mo…
Evolution of the wave-function's shape in a time-dependent harmonic potential
Etera R. Livine
An effective operational approach to quantum mechanics is to focus on the evolution of wave-packets, for which the wave-function can be seen in the semi-classical regime as represe…
Quantum Uncertainty as an Intrinsic Clock
Etera R. Livine
In quantum mechanics, a classical particle is raised to a wave-function, thereby acquiring many more degrees of freedom. For instance, in the semi-classical regime, while the posit…
Notes on the Qubit Phase Space and Discrete Symplectic Structures
Etera R. Livine
We start from Wootter's construction of discrete phase spaces and Wigner functions for qubits and more generally for finite dimensional Hilbert spaces. We look at this framework fr…
Exact and Approximate Unitary 2-Designs: Constructions and Applications
Christoph Dankert, Richard Cleve, Joseph Emerson +1
We develop the concept of a unitary t-design as a means of expressing operationally useful subsets of the stochastic properties of the uniform (Haar) measure on the unitary group U…
Convergence Conditions for Random Quantum Circuits
Joseph Emerson, Etera Livine, Seth Lloyd
Efficient methods for generating pseudo-randomly distributed unitary operators are needed for the practical application of Haar distributed random operators in quantum communicatio…
Entanglement of zero angular momentum mixtures and black hole entropy
Etera R. Livine, Daniel R. Terno
We calculate the entanglement of formation and the entanglement of distillation for arbitrary mixtures of the zero spin states on an arbitrary-dimensional bipartite Hilbert space.…
Holonomic quantum computation in the presence of decoherence
Ivette Fuentes-Guridi, Florian Girelli, Etera R. Livine
We present a scheme to study non-abelian adiabatic holonomies for open Markovian systems. As an application of our framework, we analyze the robustness of holonomic quantum computa…