Creating a switchable optical cavity with controllable quantum-state mapping between two modes

Chimczak, Grzegorz; Bartkiewicz, Karol; Ficek, Zbigniew; Tanaś, R.

doi:10.1038/s41598-018-32989-9

Cited by 7 publications

(2 citation statements)

References 91 publications

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“…We start, in figure 11, with a lambda atom which has two transitions coupled to two cavity modes that make up a qubit, and we add a classical field to allow a return to the original atomic state |a . (This system is similar to the two-mode, two-classical field 'diamond' scheme of reference [46].) For our system, we will adiabatically eliminate levels |b and |c from the interaction under the conditions Δ 1 , Δ 2 g ab 1 , g bc 2 , Ω/2, Δ 3 (see appendix D) to find the effective detuning…”

Section: Single Qubit Gatesmentioning

confidence: 99%

Cavity QED photons for quantum information processing

Alqahtani

Everitt

Garraway

2022

J. Phys. B: At. Mol. Opt. Phys.

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Based on a cavity QED framework, we theoretically describe a universal set of logic gates which are implemented by passing a multi-level atom initially in its ground state through a multi-mode cavity. The qubits are encoded on the cavity modes and the atom plays the role of an ancilla which will not be entangled with the final result of a gate operation. We apply the multiphoton resonance theory of Shore to develop effective two- and three-level Hamiltonians, so that the proper values for detunings, coupling coefficients, and interaction times for gate operations can be determined. This enables us to examine a faster iSWAP gate than our previous study and to examine numerically the effects of decoherence on both the iSWAP gate and our previously presented Fredkin gate which used the same multi-mode approach. We also present results that show how conditional measurements of the ancilla atom can improve gate fidelities in these cases.

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Section: Single Qubit Gatesmentioning

confidence: 99%

Cavity QED photons for quantum information processing

Alqahtani

Everitt

Garraway

2022

J. Phys. B: At. Mol. Opt. Phys.

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“…The concept of rotation-time symmetry was previously introduced only in fermionic systems [39][40][41]. However, bosonic systems are currently a topic of intense research [21,36,[42][43][44][45][46][47] due to being a promising platform for gain and loss engineering in physical experiments [3]. We demonstrate that RT invariance allows a given system to have a real energy spectrum, which becomes singular, as a result of a RT -symmetry phase transition.…”

Section: Introductionmentioning

confidence: 97%

Rotation-time symmetry in bosonic systems and the existence of exceptional points in the absence of $\mathcal{PT}$ symmetry

Lange,

Chimczak,

Kowalewska-Kudłaszyk

et al. 2020

Preprint

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We study symmetries of open bosonic systems in the presence of laser pumping. Non-Hermitian Hamiltonians describing these systems can be parity-time (PT ) symmetric in special cases only. Systems exhibiting this symmetry are characterised by real-valued energy spectra and can display exceptional points, where a symmetry-breaking transition occurs. We demonstrate that there is a more general type of symmetry, i.e., rotation-time (RT ) symmetry. We observe that RT -symmetric non-Hermitian Hamiltonians exhibit real-valued energy spectra which can be made singular by symmetry breaking. To calculate the spectra of the studied bosonic non-diagonalisable Hamiltonians we apply diagonalisation methods based on bosonic algebra. Finally, we list a versatile set rules allowing to immediately identifying or constructing RT -symmetric Hamiltonians. We believe that our results on the RT -symmetric class of bosonic systems and their spectral singularities can lead to new applications inspired by those of the PT -symmetric systems.

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Rotation-time symmetry in bosonic systems and the existence of exceptional points in the absence of $${\mathscr{PT}}$$ symmetry

Lange

Chimczak

Kowalewska-Kudłaszyk

et al. 2020

Sci Rep

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We study symmetries of open bosonic systems in the presence of laser pumping. Non-Hermitian Hamiltonians describing these systems can be parity-time ($${{\mathscr{PT}}}$$ PT ) symmetric in special cases only. Systems exhibiting this symmetry are characterised by real-valued energy spectra and can display exceptional points, where a symmetry-breaking transition occurs. We demonstrate that there is a more general type of symmetry, i.e., rotation-time ($${\mathscr{RT}}$$ RT ) symmetry. We observe that $${\mathscr{RT}}$$ RT -symmetric non-Hermitian Hamiltonians exhibit real-valued energy spectra which can be made singular by symmetry breaking. To calculate the spectra of the studied bosonic non-diagonalisable Hamiltonians we apply diagonalisation methods based on bosonic algebra. Finally, we list a versatile set rules allowing to immediately identifying or constructing $${\mathscr{RT}}$$ RT -symmetric Hamiltonians. We believe that our results on the $${\mathscr{RT}}$$ RT -symmetric class of bosonic systems and their spectral singularities can lead to new applications inspired by those of the $${{\mathscr{PT}}}$$ PT -symmetric systems.

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Creating a switchable optical cavity with controllable quantum-state mapping between two modes

Cited by 7 publications

References 91 publications

Cavity QED photons for quantum information processing

Cavity QED photons for quantum information processing

Rotation-time symmetry in bosonic systems and the existence of exceptional points in the absence of $\mathcal{PT}$ symmetry

Rotation-time symmetry in bosonic systems and the existence of exceptional points in the absence of $${\mathscr{PT}}$$ symmetry

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