# Joint measurement of complementary observables in moment tomography

@article{Teo2017JointMO, title={Joint measurement of complementary observables in moment tomography}, author={Yong Siah Teo and Christian R. Muller and Hyunseok Jeong and Zdeněk Hradil and Jaroslav Řeh{\'a}{\vc}ek and Luis L. S{\'a}nchez-Soto}, journal={International Journal of Quantum Information}, year={2017}, volume={15}, pages={1740002} }

Wigner and Husimi quasi-distributions, owing to their functional regularity, give the two archetypal and equivalent representations of all observable-parameters in continuous-variable quantum information. Balanced homodyning (HOM) and heterodyning (HET) that correspond to their associated sampling procedures, on the other hand, fare very differently concerning their state or parameter reconstruction accuracies. We present a general theory of a now-known fact that HET can be tomographically more… Expand

#### References

SHOWING 1-10 OF 39 REFERENCES

Superiority of heterodyning over homodyning: An assessment with quadrature moments

- Physics
- 2017

We examine the moment-reconstruction performance of both the homodyne and heterodyne (doublehomodyne) measurement schemes for arbitrary quantum states and introduce moment estimators that optimize… Expand

Evading Vacuum Noise: Wigner Projections or Husimi Samples?

- Physics, Medicine
- Physical review letters
- 2016

It is experimentally demonstrate that heterodyne detection outperforms homodyne Detection for almost all Gaussian states, the details of which depend on the squeezing strength and thermal noise. Expand

Surmounting intrinsic quantum-measurement uncertainties in Gaussian-state tomography with quadrature squeezing

- Physics, Medicine
- Scientific reports
- 2015

It is shown analytically that the competition between the errors incurred during tomogram processing in homodyne detection and the Arthurs-Kelly uncertainties arising from simultaneous incompatible quadrature measurements in heterodyne Detection can often lead to the latter giving more accurate estimates. Expand

Unbalanced homodyning for quantum state measurements.

- Physics, Medicine
- Physical review. A, Atomic, molecular, and optical physics
- 1996

The reconstruction of the quantum state of light from the homodyne photocounting statistics of a single, realistic photodetector is proposed and it is shown that perturbing effects due to classical noise of the local oscillator are small. Expand

TESTING QUANTUM NONLOCALITY IN PHASE SPACE

- Physics
- 1999

We propose an experiment demonstrating the nonlocality of a quantum singlet-like state generated from a single photon incident on a beam splitter. Each of the two spatially separated apparatuses in… Expand

Operational theory of homodyne detection

- Physics
- 1997

We discuss a balanced homodyne detection scheme with imperfect detectors in the framework of the operational approach to quantum measurement. We show that a realistic homodyne measurement is… Expand

Towards a new uncertainty principle : quantum measurement noise

- Physics
- 1991

Abstract Two generalizations of a known approach to the joint measurement of position and momentum to the joint measurement of more general pairs of observables are compared. They weaken the… Expand

B.S.T.J. briefs: On the simultaneous measurement of a pair of conjugate observables

- Mathematics
- 1965

A precise theory of the simultaneous meaSllrement of a pair of conjugate observables is necessary for obtaining the classical limit from the quantum theory, for determining the limitations of… Expand

Quantum polarization tomography of bright squeezed light

- Physics
- 2012

We reconstruct the polarization sector of a bright polarization squeezed beam starting from a complete set of Stokes measurements. Given the symmetry that underlies the polarization structure of… Expand

Unconditional teleportation of continuous-variable entanglement

- Physics
- QELS 2000
- 1999

Summary form only given. Quantum teleportation enables reliable transportation of quantum information encoded in non-orthogonal quantum states. It is only possible with entanglement. Teleportation… Expand