Preparation of entangled states of photons are useful for quantum computing and communication. In this paper, we present a simplistic protocol of entanglement generation using beam splitters with suitable reflectivity. The photons in an initial state with fully classical probability distribution pass through an optical network, made up of sequential beam splitters and are prepared in maximally entangled states. We also present the detailed theoretical analysis of entangled state generation, for an arbitrary number of photons, fed through the input ports of the beam splitters with equal probability.Preparation of entangled states of photons are useful for quantum computing and communication. In this paper, we present a simplistic protocol of entanglement generation using beam splitters with suitable reflectivity. The photons in an initial state with fully classical probability distribution pass through an optical network, made up of sequential beam splitters and are prepared in maximally entangled states. We also present the detailed theoretical analysis of entangled state generation, for an arbitrary number of photons, fed through the input ports of the beam splitters with equal probability.

arXiv:2011.11902Nov 24, 20201 citation

Entangled phase states via quantum beam splitter

Mohammed Daoud A, El Bouâzzaoui Choubabi

arXiv:1210.7966Optics CommunicationsMay 25, 20111 citation

Majorization relations and entanglement generation in a beam splitter

Christos N. Gagatsos, Ognyan Oreshkov, Nicolas J. Cerf

We prove that a beam splitter, one of the most common optical components, fulfills several classes of majorization relations, which govern the amount of quantum entanglement that it can generate. First, we show that the state resulting from $k$ photons impinging on a beam splitter majorizes the corresponding state with any larger photon number ${k}^{\ensuremath{'}}>k$, implying that the entanglement monotonically grows with $k$ . Then we examine parametric infinitesimal majorization relations as a function of the beam-splitter transmittance and find that there exists a parameter region where majorization is again fulfilled, implying a monotonic increase of entanglement by moving towards a balanced beam splitter. We also identify regions with a majorization default, where the output states become incomparable. In this latter situation, we find examples where catalysis may nevertheless be used in order to recover majorization. The catalyst states can be as simple as a path-entangled single-photon state or a two-mode squeezed vacuum state.We prove that a beam splitter, one of the most common optical components, fulfills several classes of majorization relations, which govern the amount of quantum entanglement that it can generate. First, we show that the state resulting from $k$ photons impinging on a beam splitter majorizes the corresponding state with any larger photon number ${k}^{\ensuremath{'}}>k$, implying that the entanglement monotonically grows with $k$. Then we examine parametric infinitesimal majorization relations as a function of the beam-splitter transmittance and find that there exists a parameter region where majorization is again fulfilled, implying a monotonic increase of entanglement by moving towards a balanced beam splitter. We also identify regions with a majorization default, where the output states become incomparable. In this latter situation, we find examples where catalysis may nevertheless be used in order to recover majorization. The catalyst states can be as simple as a path-entangled single-photon state or a two-mode squeezed vacuum state.

arXiv:1301.5229Physical Review AApr 4, 201321 citations

Entanglement Concentration of Single-photon Entangled States

蔡新华 Cai Xin-hua, 乔闹生 Qiao Naosheng, 彭光含 Peng Guang-han

By the analysis of the action characteristic of the beam-splitter,presenting a method of generating the single-photon entangled states utilizing optics beam-splitter and single-photon source.A scheme on entanglement concentration of the single-photon entanglement states is designed.In this scheme,the two single-photon partially entangled states are utilized as the quantum channel.The process of the entanglement concentration is achieved by using the 50/50 symmetric beam splitters,the photon detectors and with the help of classical information. Results show that to distill some maximally entangled states from partially entangled pure states is possible by using this method.By the analysis of the action characteristic of the beam-splitter,presenting a method of generating the single-photon entangled states utilizing optics beam-splitter and single-photon source.A scheme on entanglement concentration of the single-photon entanglement states is designed.In this scheme,the two single-photon partially entangled states are utilized as the quantum channel.The process of the entanglement concentration is achieved by using the 50/50 symmetric beam splitters,the photon detectors and with the help of classical information. Results show that to distill some maximally entangled states from partially entangled pure states is possible by using this method.

ACTA PHOTONICA SINICAJan 1, 20101 citation

Entangled Photon Pair Generation

Krishna Thyagarajan

Graduate texts in physicsJan 1, 20250 citations

k

photons impinging on a beam splitter majorizes the corresponding state with any larger photon number ${k}^{\ensuremath{'}}>k$, implying that the entanglement monotonically grows with

k

. Then we examine parametric infinitesimal majorization relations as a function of the beam-splitter transmittance and find that there exists a parameter region where majorization is again fulfilled, implying a monotonic increase of entanglement by moving towards a balanced beam splitter. We also identify regions with a majorization default, where the output states become incomparable. In this latter situation, we find examples where catalysis may nevertheless be used in order to recover majorization. The catalyst states can be as simple as a path-entangled single-photon state or a two-mode squeezed vacuum state.