TY - UNPB

T1 - Experimental tests of Multiplicative Bell Inequalities

AU - Paneru, Dilip

AU - Te'eni, Amit

AU - Peled, Bar Y.

AU - Hubble, James

AU - Zhang, Yingwen

AU - Carmi, Avishy

AU - Cohen, Eliahu

AU - Karimi, Ebrahim

PY - 2020

Y1 - 2020

N2 - Bell inequalities are mathematical constructs that demarcate the
boundary between quantum and classical physics. A new class of
multiplicative Bell inequalities originating from a volume maximization
game (based on products of correlators within bipartite systems) has
been recently proposed. For these new Bell parameters, it is relatively
easy to find the classical and quantum, i.e. Tsirelson, limits. Here, we
experimentally test the Tsirelson bounds of these inequalities using
polarisation-entangled photons for different number of measurements
($n$), each party can perform. For $n=2, 3, 4$, we report the
experimental violation of local hidden variable theories. In addition,
we experimentally compare the results with the parameters obtained from
a fully deterministic strategy, and observe the conjectured nature of
the ratio. Finally, utilizing the principle of "relativistic
independence" encapsulating the locality of uncertainty relations, we
theoretically derive and experimentally test new richer bounds for both
the multiplicative and the additive Bell parameters for $n=2$. Our
findings strengthen the correspondence between local and nonlocal
correlations, and may pave the way for empirical tests of quantum
mechanical bounds with inefficient detection systems.

AB - Bell inequalities are mathematical constructs that demarcate the
boundary between quantum and classical physics. A new class of
multiplicative Bell inequalities originating from a volume maximization
game (based on products of correlators within bipartite systems) has
been recently proposed. For these new Bell parameters, it is relatively
easy to find the classical and quantum, i.e. Tsirelson, limits. Here, we
experimentally test the Tsirelson bounds of these inequalities using
polarisation-entangled photons for different number of measurements
($n$), each party can perform. For $n=2, 3, 4$, we report the
experimental violation of local hidden variable theories. In addition,
we experimentally compare the results with the parameters obtained from
a fully deterministic strategy, and observe the conjectured nature of
the ratio. Finally, utilizing the principle of "relativistic
independence" encapsulating the locality of uncertainty relations, we
theoretically derive and experimentally test new richer bounds for both
the multiplicative and the additive Bell parameters for $n=2$. Our
findings strengthen the correspondence between local and nonlocal
correlations, and may pave the way for empirical tests of quantum
mechanical bounds with inefficient detection systems.

KW - Quantum Physics

M3 - Preprint

BT - Experimental tests of Multiplicative Bell Inequalities

ER -