  Energy-time entangled biphoton source plays a great role in quantum
communication, quantum metrology and quantum cryptography due to its strong
temporal correlation and capability of nonlocal dispersion cancellation. As a
quantum effect, nonlocal dispersion cancellation is further proposed as an
alternative way for nonlocality test of continuous variable entanglement via
the violation of Bell-like inequality proposed by Wasak et al. [Phys. Rev. A,
82, 052120 (2010)]. However, to date there is no experimental report either on
the inequality violation or on a nonlocal detection with single-photon
detectors at long-distance transmission channel, which is key for a true
nonlocality test. In this paper, we report an experimental realization of a
violation of the inequality after 62km optical fiber transmission at telecom
wavelength with a nonlocal detection based on event timers and
cross-correlation algorithm, which indicates a successful nonlocal test of
energy-time entanglement. This work provides a new feasibility for the strict
test of the nonlocality for continuous variables in both long-distance
communication fiber channel and free space.
