228 citations · 441 across the 8 of their papers we have counts for
8 papers
Gap between quantum theory based on real and complex numbers is arbitrarily large
Shubhayan Sarkar, David Trillo, Marc Olivier Renou +1
Quantum Information Theory, the standard formalism used to represent information contained in quantum systems, is based on complex Hilbert spaces (CQT). It was recently shown that…
The Diósi-Penrose model of classical gravity predicts gravitationally induced entanglement
David Trillo, Miguel Navascués
We show that the dynamics of the Diósi-Penrose (DP) model of classical gravity can entangle the mechanical degrees of freedom of two separate particles. For standard experiments of…
Quantum advantages for transportation tasks: projectiles, rockets and quantum backflow
David Trillo, Thinh P. Le, Miguel Navascues
Consider a scenario where a quantum particle is initially prepared in some bounded region of space and left to propagate freely. After some time, we verify if the particle has reac…
Demonstration of universal time-reversal for quantum processes
Peter Schiansky, Teodor Strömberg, David Trillo +4
Although the laws of classical physics are deterministic, thermodynamics gives rise to an arrow of time through irreversible processes. In quantum mechanics the unitary nature of t…
Testing real quantum theory in an optical quantum network
Zheng-Da Li, Ya-Li Mao, Mirjam Weilenmann +12
Quantum theory is commonly formulated in complex Hilbert spaces. However, the question of whether complex numbers need to be given a fundamental role in the theory has been debated…
Quantum theory based on real numbers can be experimentally falsified
Marc-Olivier Renou, David Trillo, Mirjam Weilenmann +5
While complex numbers are essential in mathematics, they are not needed to describe physical experiments, expressed in terms of probabilities, hence real numbers. Physics however a…
Entanglement Detection Beyond Measuring Fidelities
Mirjam Weilenmann, Benjamin Dive, David Trillo +2
One of the most widespread methods to determine if a quantum state is entangled, or to quantify its entanglement dimensionality, is by measuring its fidelity with respect to a pure…
Translating Uncontrolled Systems in Time
David Trillo, Benjamin Dive, Miguel Navascues
We show that there exist non-relativistic scattering experiments which, if successful, freeze out, speed up or even reverse the free dynamics of any ensemble of quantum systems pre…