### Abstract

We present a procedure to completely determine the complex modular values of arbitrary observables of pre- and postselected ensembles, which works experimentally for all measurement strengths and all postselected 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 simultaneously controlling the visibility and the phase in a quantum eraser interference experiment. Modular and weak values are closely related. Using entangled qubits for the probed and meter systems, we show that the phase of the modular and weak values has a topological origin. This phase is completely defined by the intrinsic physical properties of the probed system and its time evolution. The physical significance of this phase can thus be used to evaluate the quantumness of weak values.

Original language | English |
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Article number | 042124 |

Journal | Physical Review A - Atomic, Molecular, and Optical Physics |

Volume | 93 |

Issue number | 4 |

DOIs | |

Publication status | Published - 28 Apr 2016 |

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**Revealing geometric phases in modular and weak values with a quantum eraser.** / Cormann, Mirko; Remy, Mathilde; Kolaric, Branko; Caudano, Yves.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Revealing geometric phases in modular and weak values with a quantum eraser

AU - Cormann, Mirko

AU - Remy, Mathilde

AU - Kolaric, Branko

AU - Caudano, Yves

PY - 2016/4/28

Y1 - 2016/4/28

N2 - We present a procedure to completely determine the complex modular values of arbitrary observables of pre- and postselected ensembles, which works experimentally for all measurement strengths and all postselected 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 simultaneously controlling the visibility and the phase in a quantum eraser interference experiment. Modular and weak values are closely related. Using entangled qubits for the probed and meter systems, we show that the phase of the modular and weak values has a topological origin. This phase is completely defined by the intrinsic physical properties of the probed system and its time evolution. The physical significance of this phase can thus be used to evaluate the quantumness of weak values.

AB - We present a procedure to completely determine the complex modular values of arbitrary observables of pre- and postselected ensembles, which works experimentally for all measurement strengths and all postselected 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 simultaneously controlling the visibility and the phase in a quantum eraser interference experiment. Modular and weak values are closely related. Using entangled qubits for the probed and meter systems, we show that the phase of the modular and weak values has a topological origin. This phase is completely defined by the intrinsic physical properties of the probed system and its time evolution. The physical significance of this phase can thus be used to evaluate the quantumness of weak values.

UR - http://www.scopus.com/inward/record.url?scp=84964809120&partnerID=8YFLogxK

U2 - 10.1103/PhysRevA.93.042124

DO - 10.1103/PhysRevA.93.042124

M3 - Article

VL - 93

JO - Physical Review A - Atomic, Molecular, and Optical Physics

JF - Physical Review A - Atomic, Molecular, and Optical Physics

SN - 1050-2947

IS - 4

M1 - 042124

ER -