Efficient Distinction between Quantum Direct and Common Causes and its
Experimental Verification
- URL: http://arxiv.org/abs/2203.02752v1
- Date: Sat, 5 Mar 2022 14:12:37 GMT
- Title: Efficient Distinction between Quantum Direct and Common Causes and its
Experimental Verification
- Authors: Feixiang Xu, Jia-Yi Lin, Ben Wang, Tao Jiang, Shengjun Wu, Wei Wang,
Lijian Zhang
- Abstract summary: We introduce a quantity named Causal Determinant' to efficiently identify the quantum causal structures between two quantum systems.
According to the causal determinant, the quantum direct cause imposed by an arbitrary unitary operator can be perfectly discriminated with the quantum common cause.
- Score: 15.082156478846654
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Identifying the causal structures between two statistically correlated events
has been widely investigated in many fields of science. While some of the
well-studied classical methods are carefully generalized to quantum version of
causal inference for certain cases, an effective and efficient way to detect
the more general quantum causal structures is still lacking. Here, we introduce
a quantity named `Causal Determinant' to efficiently identify the quantum
causal structures between two quantum systems and experimentally verify the
validity of the method. According to the causal determinant, the quantum direct
cause imposed by an arbitrary unitary operator can be perfectly discriminated
with the quantum common cause, in which the two quantum systems share a joint
quantum state. In addition, the causal determinant has the capability to
discriminate between more general causal structures and predict the range of
their parameters. The ability to detect more general quantum causal structures
of our method can shed new light on the field of quantum causal inference.
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