# Interferences in quantum eraser reveal geometric phases in modular and weak values

@article{Cormann2016InterferencesIQ, title={Interferences in quantum eraser reveal geometric phases in modular and weak values}, author={Mirko Cormann and Mathilde Remy and Branko Kolari{\'c} and Yves Caudano}, journal={Physical Review A}, year={2016}, volume={93} }

In this letter, we present a new procedure to determine completely the complex modular values of arbitrary observables of pre- and post-selected ensembles, which works experimentally for all measurement strengths and all post-selected states. This procedure allows us to discuss the physics of modular and weak values in interferometric experiments involving a qubit meter. We determine both the modulus and the argument of the modular value for any measurement strength in a single step, by…

## 12 Citations

Geometric description of modular and weak values in discrete quantum systems using the Majorana representation

- Physics, Mathematics
- 2016

We express modular and weak values of observables of three- and higher-level quantum systems in their polar form. The Majorana representation of N-level systems in terms of symmetric states of N-1…

Direct Measurement of a Nonlocal Entangled Quantum State.

- PhysicsPhysical review letters
- 2019

Here, for the first time, a method is proposed to directly measure a nonlocal wave function of a bipartite system, using modular values, and is experimentally implemented for a photon pair in a hyperentangled state.

Various pointer states approaches to polar modular values

- Mathematics
- 2018

We theoretically analyze the polar decomposition for quantum modular values under various pointer states approaches. We consider both the finite-dimensional discrete pointer state and continuous…

Overcoming experimental limitations in a nonlinear two-qubit gate through postselection

- PhysicsQuantum Inf. Process.
- 2017

A modular-value two-qubit gate is introduced and its advantages in experimentally limited situations are explored, including the connection to a postselected cross-phase modulation scenario when a undesired absorption is present.

Delayed choice of paths in the quantum paradox of separating different properties of a photon

- Physics
- 2021

The so-called quantum Cheshire Cat is a scenario where a photon, identified with a cat, and a component of its polarization, identified with the grin of that cat, are separated. We observe that the…

Can two quantum Cheshire cats exchange grins?

- Physics
- 2019

A common-sense perception of a physical system is that it is inseparable from its physical properties. The notion of Quantum Cheshire Cat challenges this, as far as quantum systems are concerned. It…

Operational formulation of weak values without probe systems

- MathematicsPhysical Review A
- 2020

Weak values are the fundamental values for observables in a pre- and post-selected system. Weak values are typically measured by weak measurement, in which weak values appear in the change of not the…

A framework for measuring weak values without weak interactions and its diagrammatic representation

- Materials ScienceNew Journal of Physics
- 2019

Weak values are typically obtained experimentally by performing weak measurements, which involve weak interactions between the measured system and a probe. However, the determination of weak values…

A note concerning the modular valued von Neumann interaction operator

- MathematicsQuantum Studies: Mathematics and Foundations
- 2018

The modular valued operator $${\hat{V}}_m $$V^m of the von Neumann interaction operator for a projector is defined. The properties of $${\hat{V}}_m $$V^m are discussed and contrasted with those of…

Linear and nonlinear optical effects in biophotonic structures using classical and nonclassical light

- Physics, BiologyJournal of biophotonics
- 2019

The optical study of different biophotonic geometries and biological structures using classical light in linear and nonlinear regime is reviewed, especially highlighting the link between these morphologies and modern biomedical research.

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