Paradoxical consequences of multipath coherence: perfect interaction-free measurements

Z. Zhao , S. Mondal , M. Markiewicz , Adam Rutkowski , B. Dakić , Wiesław Laskowski , T. Paterek

Abstract

Quantum coherence can be used to infer the presence of a detector without triggering it. Here we point out that, according to quantum mechanics, such interaction-free measurements cannot be perfect, i.e., in a single-shot experiment one has strictly positive probability to activate the detector. We formalize the extent to which such measurements are forbidden by deriving a trade-off relation between the probability of activation and the probability of an inconclusive interaction-free measurement. Our description of interaction-free measurements is theory independent and allows derivations of similar relations in models generalizing quantum mechanics. We provide the trade-off for the density cube formalism, which extends the quantum model by permitting coherence between more than two paths. The trade-off obtained hints at the possibility of perfect interaction-free measurements and indeed we construct their explicit examples. Such measurements open up a paradoxical possibility where we can learn by means of interference about the presence of an object in a given location without ever detecting a probing particle in that location. We therefore propose that absence of perfect interaction-free measurement is a natural postulate expected to hold in all physical theories. As shown, it holds in quantum mechanics and excludes the models with multipath coherence.
Autor Z. Zhao
Z. Zhao
-
, S. Mondal
S. Mondal
-
, M. Markiewicz
M. Markiewicz
-
, Adam Rutkowski (WMFiI / IFTiA)
Adam Rutkowski
- Instytut Fizyki Teoretycznej i Astrofizyki
, B. Dakić
B. Dakić
-
, Wiesław Laskowski (WMFiI / IFTiA)
Wiesław Laskowski
- Instytut Fizyki Teoretycznej i Astrofizyki
, T. Paterek
T. Paterek
-
Tytuł czasopisma/seriiPhysical Review A, ISSN 1050-2947, (A 35 pkt)
Rok wydania2018
Tom98
Nr2
Paginacja1-13
Objętość publikacji w arkuszach wydawniczych0.6
Klasyfikacja ASJC3107 Atomic and Molecular Physics, and Optics
DOIDOI:10.1103/PhysRevA.98.022108
URL https://journals.aps.org/pra/pdf/10.1103/PhysRevA.98.022108
Języken angielski
Punktacja (całkowita)35
PunktacjaPunktacja MNiSW = 35.0, 30-09-2019, ArticleFromJournal
Wskaźniki publikacji Scopus SNIP (Source Normalised Impact per Paper): 2017 = 0.886; Impact Factor WoS: 2014 = 2.808 (2) - 2014=2.628 (5)
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