6533b82efe1ef96bd12928c6

RESEARCH PRODUCT

Hyper-Entanglement in Time and Frequency

Mehedi IslamMichael KuesSebastien LorangerRoberto MorandottiAlfonso Carmelo CinoPiotr RoztockiBrent E. LittleChristian ReimerJosé AzañaSai T. ChuStefania SciaraRaman KashyapYu ZhangLuis Romero CortesDavid J. MossBennet FischerLucia CaspaniWilliam J. Munro

subject

Physicssymbols.namesakeFour-wave mixingUncertainty principlePhotonMultiplicative functionHilbert spacesymbolsDegrees of freedom (statistics)Quantum channelQuantum entanglementTopology

description

Hyper-entanglement, i.e. entanglement in more than one degree of freedom, enables a multiplicative increase in Hilbert space size. Such systems can be treated as multi-partite even though the number of state particles is not increased, making them highly attractive for applications in high-capacity quantum communications and information processing [1]. Until now, such states have been realized only using combinations of fully independent degrees of freedom, described by commuting operators, such as polarization and optical paths. Time and frequency, in turn, are linked and described by non-commuting operators. Here, using two discrete forms of energy-time entanglement we demonstrate that time and frequency can be used for genuine multi-partite hyper-entangled states [2]. This is achieved by increasing the time-frequency product to far exceed the Heisenberg uncertainty limit, effectively making the time and frequency degrees independent.

https://doi.org/10.1109/cleoe-eqec.2019.8872933