Daniel J. Lum
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View article: Bayesian Quantum State Tomography with Python's PyMC
Bayesian Quantum State Tomography with Python's PyMC Open
Quantum state tomography (QST) is typically performed from a frequentist viewpoint using maximum likelihood estimation (MLE) which seeks to find the best plausible state consistent with the data by maximizing a likelihood function / distri…
View article: Witnessing the survival of time-energy entanglement through biological tissue and scattering media
Witnessing the survival of time-energy entanglement through biological tissue and scattering media Open
We demonstrate the preservation of the time-energy entanglement of near-IR photons through thick biological media (≤1.55 mm) and tissue (≤ 235 μ m) at room temperature. Using a Franson-type interferometer, we demonstrate interferometric co…
View article: Witnessing the survival of time-energy entanglement through biological\n tissue and scattering media
Witnessing the survival of time-energy entanglement through biological\n tissue and scattering media Open
We demonstrate the preservation of time-energy entanglement of near-IR\nphotons through thick biological media ($\\leq$1.55 mm) and tissue ($\\leq$ 235\n$\\mu$m) at room temperature. Using a Franson-type interferometer, we\ndemonstrate int…
View article: Compressively sampling the optical transmission matrix of a multimode fibre
Compressively sampling the optical transmission matrix of a multimode fibre Open
Measurement of the optical transmission matrix (TM) of an opaque material is an advanced form of space-variant aberration correction. Beyond imaging, TM-based methods are emerging in a range of fields including optical communications, opti…
View article: Compressive direct imaging of a billion-dimensional optical phase space
Compressive direct imaging of a billion-dimensional optical phase space Open
Optical phase spaces represent fields of any spatial coherence and are typically measured through phase-retrieval methods involving a computational inversion, optical interference, or a resolution-limiting lenslet array. Recently, a weak-v…
View article: Short-wave infrared compressive imaging of single photons
Short-wave infrared compressive imaging of single photons Open
We present a short-wave infrared (SWIR) single photon camera based on a single superconducting nanowire single photon detector (SNSPD) and compressive imaging. We show SWIR single photon imaging at a megapixel resolution with a low signal-…
View article: Characterizing High-Dimensional Optical Systems with Applications in Compressive Sensing and Quantum Data Locking
Characterizing High-Dimensional Optical Systems with Applications in Compressive Sensing and Quantum Data Locking Open
This University of Rochester Physics Ph.D. dissertation introduces concepts in compressive sensing, quantum entanglement, FMCW LiDAR, and quantum data locking. Additionally, the appendix serves as a thorough reference for those interested …
View article: Quantum enigma machine: Experimentally demonstrating quantum data locking
Quantum enigma machine: Experimentally demonstrating quantum data locking Open
Shannon proved in 1949 that information-theoretic-secure encryption is possible if the encryption key is used only once, is random, and is at least as long as the message itself. Notwithstanding, when information is encoded in a quantum sy…
View article: A Quantum Enigma Machine: Experimentally Demonstrating Quantum Data Locking
A Quantum Enigma Machine: Experimentally Demonstrating Quantum Data Locking Open
Claude Shannon proved in 1949 that information-theoretic-secure encryption is possible if the encryption key is used only once, is random, and is at least as long as the message itself. Notwithstanding, when information is encoded in a qua…
View article: Compressively Characterizing High-Dimensional Entangled States with Complementary, Random Filtering
Compressively Characterizing High-Dimensional Entangled States with Complementary, Random Filtering Open
The resources needed to conventionally characterize a quantum system are overwhelmingly large for high-dimensional systems. This obstacle may be overcome by abandoning traditional cornerstones of quantum measurement, such as general quantu…
View article: Position-momentum Bell nonlocality with entangled photon pairs
Position-momentum Bell nonlocality with entangled photon pairs Open
Witnessing continuous-variable Bell nonlocality is a challenging endeavor, but Bell himself showed how one might demonstrate this nonlocality. Although Bell nearly showed a violation using the Clauser-Horne-Shimony-Holt (CHSH) inequality w…
View article: Fast Hadamard transforms for compressive sensing of joint systems: measurement of a 32 million-dimensional bi-photon probability distribution
Fast Hadamard transforms for compressive sensing of joint systems: measurement of a 32 million-dimensional bi-photon probability distribution Open
We demonstrate how to efficiently implement extremely high-dimensional compressive imaging of a bi-photon probability distribution. Our method uses fast-Hadamard-transform Kronecker-based compressive sensing to acquire the joint space dist…