TY - JOUR

T1 - Heisenberg scaling precision in multi-mode distributed quantum metrology

AU - Gramegna, Giovanni

AU - Triggiani, Danilo

AU - Facchi, Paolo

AU - Narducci, Frank A.

AU - Tamma, Vincenzo

PY - 2021/5/10

Y1 - 2021/5/10

N2 - We consider the estimation of an arbitrary parameter ϕ, such as the temperature or a magnetic
field, affecting in a distributed manner the components of an arbitrary linear optical passive
network, such as an integrated chip. We demonstrate that Heisenberg scaling precision (i.e. of the
order of 1/N, where N is the number of probe photons) can be achieved without any iterative
adaptation of the interferometer hardware and by using only a simple, single, squeezed light source
and well-established homodyne measurements techniques. Furthermore, no constraint on the
possible values of the parameter is needed but only a preliminary shot-noise estimation (i.e. with a
precision of √N) easily achievable without any quantum resources. Indeed, such a classical
knowledge of the parameter is enough to prepare a single, suitable optical stage either at the input
or the output of the network to monitor with Heisenberg-limited precision any variation of the
parameter to the order of 1/
√N without the need to iteratively modify such a stage.

AB - We consider the estimation of an arbitrary parameter ϕ, such as the temperature or a magnetic
field, affecting in a distributed manner the components of an arbitrary linear optical passive
network, such as an integrated chip. We demonstrate that Heisenberg scaling precision (i.e. of the
order of 1/N, where N is the number of probe photons) can be achieved without any iterative
adaptation of the interferometer hardware and by using only a simple, single, squeezed light source
and well-established homodyne measurements techniques. Furthermore, no constraint on the
possible values of the parameter is needed but only a preliminary shot-noise estimation (i.e. with a
precision of √N) easily achievable without any quantum resources. Indeed, such a classical
knowledge of the parameter is enough to prepare a single, suitable optical stage either at the input
or the output of the network to monitor with Heisenberg-limited precision any variation of the
parameter to the order of 1/
√N without the need to iteratively modify such a stage.

KW - quant-ph

U2 - 10.1088/1367-2630/abf67f

DO - 10.1088/1367-2630/abf67f

M3 - Article

SN - 1367-2630

VL - 23

JO - New Journal of Physics

JF - New Journal of Physics

M1 - 053002

ER -