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Phase squeezing of quantum hypergraph states
Ramita Sarkar, Supriyo Dutta, , Prasanta Panigrahi K.
Published in IOP PUBLISHING LTD
2021
Volume: 54
   
Issue: 13
Abstract
Corresponding to a hypergraph G with d vertices, a quantum hypergraph state is defined by vertical bar G > = 1/root 2(d) Sigma(2d)(n=0) (1)(-1)(integral(n)) vertical bar n >, where f is a d-variable Boolean function depending on the hypergraph G, and vertical bar n > denotes a binary vector of length 2(d) with 1 at the nth position for n = 0, 1,... (2(d) - 1). The nonclassical properties of these states are studied. We consider the annihilation and creation operator on the Hilbert space of dimension 2(d) acting on the number states \{vertical bar n > : n = 0, 1,... (2(d) - 1)\}. The Hermitian number and phase operators, in finite dimensions, are constructed. The number-phase uncertainty for these states leads to the idea of phase squeezing. We establish that these states are squeezed in the phase quadrature only and satisfy the Agarwal- Tara criterion for nonclassicality, which only depends on the number of vertices of the hypergraphs. We also point out that coherence is observed in the phase
About the journal
JournalData powered by TypesetJOURNAL OF PHYSICS B-ATOMIC MOLECULAR AND OPTICAL PHYSICS
PublisherData powered by TypesetIOP PUBLISHING LTD
ISSN0953-4075
Open AccessNo