Full time-dependent counting statistics of highly entangled biphoton states
arXiv:2209.03780 · doi:10.1103/PhysRevA.106.053716
Abstract
Highly entangled biphoton states, generated by spontaneous parametric processes, find wide applications in many experimental realizations. There is an increasing demand for accurate prediction of their time-dependent detection. Unlike approaches that have emerged so far, this paper presents an approach providing full time-dependent counting statistics in terms of efficiently computable formulas, valid for a wide range of entanglement and arbitrary interaction times. General spatial modes are taken into account to describe free space and fiber propagation. The time intervals that correspond to the statistics are classified according to their widths. Apart from large and small widths compared to the temporal correlation width, intermediate interval widths give access to accidental correlations between separated time intervals. Moreover, the approach is easily applicable to a modular array of arbitrary optical components and external influences. This is demonstrated on phase-time coding, where the detuning of the interferometers affecting Franson interference is investigated. An acceptable range for the detuning is estimated, such that the security of the key is not compromised.
arXiv commentfinal, published version
References in corpus (36)
- Quantum Cryptography
- Secure quantum key distribution with realistic devices
- The Magnus expansion and some of its applications
- Pulsed energy-time entangled twin-photon source for quantum communication
- Analysis and interpretation of high transverse entanglement in optical parametric down conversion
- Spatial correlations in parametric down-conversion
- Quantum optics in the phase space - A tutorial on Gaussian states
- On the Numerical Evaluation of Fredholm Determinants
- Simultaneous near-field and far field spatial quantum correlations in spontaneous parametric down-conversion
- High-dimensional frequency-bin entangled photons in an optical microresonator on a chip
- Quantifying photonic high-dimensional entanglement
- Frequency Multiplexing for Quasi-Deterministic Heralded Single-Photon Sources
- Introduction to the Transverse Spatial Correlations in Spontaneous Parametric Down-Conversion through the Biphoton Birth Zone
- Effects of multiple pairs on visibility measurements of entangled photons generated by spontaneous parametric processes
- High-performance quantum entanglement generation via cascaded second-order nonlinear processes
- Nonlinear integrated quantum electro-optic circuits
- On Secure Quantum Key Distribution Using Continuous Variables of Single Photons
- Effects of time ordering in quantum nonlinear optics
- Introduction to the Absolute Brightness and Number Statistics in Spontaneous Parametric Down-Conversion
- How Colors Influence Numbers: Photon Statistics of Parametric Downconversion
- Full analysis of multi-photon pair effects in spontaneous parametric down conversion based photonic quantum information processing
- Shape of the spatial mode function of photons generated in noncollinear spontaneous parametric downconversion
- A Fabry-Perot like two-photon interferometer for high-dimensional time-bin entanglement
- Nonlocality test of energy-time entanglement via nonlocal dispersion cancellation with nonlocal detection
- Full statistical mode reconstruction of a light field via a photon-number resolved measurement
- Dealing with entanglement of continuous variables: Schmidt decomposition with discrete sets of orthogonal functions
- Quantum process tomography of a controlled-phase gate for time-bin qubits
- Enhanced violation of the Collins-Gisin-Linden-Massar-Popescu inequality with optimized time-bin-entangled ququarts
- Influence of coincidence detection through free-space atmospheric turbulence using partial spatial coherence
- A robust verification of the quantum nature of light
- Coherent light in intense spatio-spectral twin beams
- An efficient source of frequency anti-correlated entanglement at telecom wavelength
- Nonlocal Quantum Erasure of Phase Objects
- Generation of entangled photons using an arrayed waveguide grating
- General and complete description of temporal photon correlations in cavity-enhanced spontaneous parametric down-conversion
- Studies on the readability and on the detection rate in a Mach-Zehnder interferometer-based implementation for high-rate, long-distance QKD protocols