Bosons are integer-spin particles that obey Bose-Einstein statistics. Two bosons can occupy the same quantum state.
Questions tagged [bosons]
5 questions
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Trace distance between thermal states
The $M$-mode thermal state in quantum optics can be written in Fock space in the diagonal form
$$ \rho = \bigotimes_{j=1}^M\sum_{n_j=0}^\infty P(n_j|\mu_0^{(j)})|n_j\rangle\langle n_j|,$$ given the Bose-Einstein probability distribution…
Noobgrammer
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Trotter error for bosons in various encodings
Mapping second-quantized bosonic modes onto qubits can be done using various encodings. Each of those have their pro et contra. Fewer qubits — more gates, and vice versa. Encoding an $N$-level bosonic mode with unary mapping requires $(N+1)$ qubits,…
mavzolej
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Why is Square Root Computation Necessary for Simulating Bosonic Operators on Qubits?
In Appendix F of this paper, the authors discuss simulating the Bosonic displacement operator on qubits. The generating Hamiltonian for this operation is
$ H = a^\dagger + a. $
The leading-order cost of this arises from the need to compute square…
banercat
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Is the real span of symmetric product states equal to the set of Hermitians with image in the symmetric space?
It is easy to see that the real span of the set of product states is equal to the set of Hermitian operators (see e.g Can every bipartite state be written as $\rho_{AB} = \sum_{ij} c_{ij}\sigma_A^i\otimes \omega_B^j$?). My question is whether an…
Ben
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how to obtain eigenvalues of a bosonic state?
Suppose have a bosonic state as follow:
$a \left| 0nm \right> \left< 0nm \right|+b \left| 0nm \right> \left< 1(n+1)(m+1) \right|+c \left| 1(n+1)(m+1)\right> \left< 0nm \right|+d \left| 1(n+1)(m+1)\right> \left< 1(n+1)(m+1)\right| $
where n and m are…
reza
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