Relation between nonclassical features through logical qudits
Scalable modern-time fault-tolerant quantum computation and quantum
communication in a network employ a large number of physical qubits. For
example, IBM is reported to have made a 127-qubit quantum computer. Unlike
classical computation, quantum computation employs different types of logical
qubits and qudits in terms of physical multiqubit and multiqudit systems
respectively. Given this, of particular interest to us is to enquire on how
quantum coherence in logical qubits is a manifestation of underlying quantum
correlations in constituent physical multiqubit systems and vice-versa. In a
recent work [Asthana, Sooryansh. New J Phys 24.5 (2022): 053026], we have shown
that there is reciprocity in nonclassical correlations in physical multiqubit
systems and coherence in a single logical qubit system. Subsequently, we have
generalised the framework to higher dimensional quantum systems []. The crux of
this study is that a single nonclassicality condition derived for quantum
coherence in a logical system detects more than one type of nonclassicality in
Hilbert spaces of nonidentical dimensions.
Sooryansh Asthana V. Ravishankar