Report
Phase Squeezing of Quantum Hypergraph States
| العنوان: | Phase Squeezing of Quantum Hypergraph States |
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| المؤلفون: | Sarkar, Ramita, Dutta, Supriyo, Banerjee, Subhashish, Panigrahi, Prasanta K. |
| سنة النشر: | 2020 |
| المجموعة: | Mathematics Quantum Physics |
| مصطلحات موضوعية: | Quantum Physics, Mathematics - Combinatorics |
| الوصف: | Corresponding to a hypergraph $G$ with $d$ vertices, a quantum hypergraph state is defined by $|G\rangle = \frac{1}{\sqrt{2^d}}\sum_{n = 0}^{2^d - 1} (-1)^{f(n)} |n \rangle$, where $f$ is a $d$-variable Boolean function depending on the hypergraph $G$, and $|n \rangle$ denotes a binary vector of length $2^d$ with $1$ at $n$-th position for $n = 0, 1, \dots (2^d - 1)$. The non-classical properties of these states are studied. We consider annihilation and creation operator on the Hilbert space of dimension $2^d$ acting on the number states $\{|n \rangle: n = 0, 1, \dots (2^d - 1)\}$. 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 non-classicality, which only depends on the number of vertices of the hypergraphs. We also point out that coherence is observed in the phase quadrature. |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1088/1361-6455/ac02d2 |
| URL الوصول: | http://arxiv.org/abs/2009.01082 |
| رقم الانضمام: | edsarx.2009.01082 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1088/1361-6455/ac02d2 |
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