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pro vyhledávání: '"Dicke states"'
Autor:
Raveh, David, Nepomechie, Rafael I.
We derive an exact canonical matrix product state (MPS) representation for Dicke states $|D^n_k\rangle$ with minimal bond dimension $\chi=k+1$, for general values of $n$ and $k$, for which the W-state is the simplest case $k=1$. We use this MPS to fo
Externí odkaz:
http://arxiv.org/abs/2408.04729
It is shown how the spin chain based on the dual $q$-Krawtchouk polynomials is connected to a weighted hypercube through the use of $q$-Dicke states. The representation theoretic underpinnings based on the quantum algebra $U_q(\mathfrak{su}(2))$ are
Externí odkaz:
http://arxiv.org/abs/2408.14388
Autor:
Sotnikov, Oleg M., Iakovlev, Ilia A., Kiktenko, Evgeniy O., Fedorov, Aleksey K., Mazurenko, Vladimir V.
Manipulating entanglement, which reflects non-local correlations in a quantum system and defines the complexity of describing its wave function, represents the extremely tough challenge in the fields of quantum computing, quantum information, and con
Externí odkaz:
http://arxiv.org/abs/2404.15050
We introduce the notion of $su(2)$ spin-$s$ Dicke states, which are higher-spin generalizations of usual (spin-1/2) Dicke states. These multi-qudit states can be expressed as superpositions of $su(2s+1)$ qudit Dicke states. They satisfy a recursion f
Externí odkaz:
http://arxiv.org/abs/2402.03233
Akademický článek
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We propose a theoretical approach for entangling two Dicke states in a periodic modulated quantum system. By considering two qubit ensembles that are nonuniformly coupled to a common resonator, we can derive an effective Hamiltonian whose energy leve
Externí odkaz:
http://arxiv.org/abs/2312.15568
Autor:
Raveh, David, Nepomechie, Rafael I.
Dicke states are completely symmetric states of multiple qubits (2-level systems), and qudit Dicke states are their $d$-level generalization. We define here $q$-deformed qudit Dicke states using the quantum algebra $su_q(d)$. We show that these state
Externí odkaz:
http://arxiv.org/abs/2308.08392
Going beyond the standard quantum limit in noisy quantum metrology is an important and challenging task. Here we show how Dicke states can be used to surpass the standard quantum limit and achieve the Heisenberg limit in open quantum systems. The sys
Externí odkaz:
http://arxiv.org/abs/2309.12411
Autor:
Munizzi, William, Schnitzer, Howard J.
The $N$-qubit Dicke states $|D^N_k\rangle$, of Hamming-weight $k$, are a class of entangled states which play an important role in quantum algorithm optimization. We present a general calculation of entanglement entropy in Dicke states, which we use
Externí odkaz:
http://arxiv.org/abs/2306.13146
Publikováno v:
IEEE Transactions on Communications ( Volume: 72, Issue: 4, April 2024)
Multipartite entanglement plays a crucial role for the design of the Quantum Internet, due to its peculiarities with no classical counterpart. Yet, for entanglement-based quantum networks, a key open issue is constituted by the lack of an effective e
Externí odkaz:
http://arxiv.org/abs/2305.01276