# Spin tomography

@inproceedings{DAriano2002SpinT, title={Spin tomography}, author={Giacomo Mauro D’Ariano and Lorenzo Maccone and Marco Paini}, year={2002} }

We propose a tomographic reconstruction scheme for spin states. The experimental set-up, which is a modification of the Stern–Gerlach scheme, can be easily performed with currently available technology. The method is generalized to multiparticle states, analysing the spin-1/2 case for indistinguishable particles. Some Monte Carlo numerical simulations are given to illustrate the technique.

## 65 Citations

### Purity of spin states in terms of tomograms

- Mathematics
- 2013

The purity of spin-j states is expressed through measurable tomographic probabilities. Along with the general formula, we also establish particular relations for conventional spin tomography, spin…

### Quantum state reconstruction on atom-chips

- Physics
- 2015

We realize on an atom-chip, a practical, experimentally undemanding, tomographic reconstruction algorithm relying on the time–resolved measurements of the atomic population distribution among atomic…

### MuSR method and tomographic-probability representation of spin states

- Physics
- 2010

The muon spin rotation/relaxation/resonance (MuSR) technique for studying matter structures is considered by means of a recently introduced probability representation of quantum spin states. A…

### Optimal Quantum Tomography

- PhysicsIEEE Journal of Selected Topics in Quantum Electronics
- 2009

The present short review article illustrates the latest theoretical developments on quantum tomography, regarding general optimization methods for both data processing and setup. The basic…

### Tomography from collective measurements

- MathematicsQuantum Information Processing
- 2018

We discuss the tomography of N-qubit states using collective measurements. The method is exact for symmetric states, whereas for not completely symmetric states the information accessible can be…

### Tomography from collective measurements

- MathematicsQuantum Inf. Process.
- 2018

We discuss the tomography of N-qubit states using collective measurements. The method is exact for symmetric states, whereas for not completely symmetric states the information accessible can be…

### 2 Quantum Tomographic Methods

- Physics
- 2004

The state of a physical system is the mathematical object that provides a complete information on the system. The knowledge of the state is equivalent to know the result of any possible measurement…

### Quantum polarization tomography of bright squeezed light

- Physics, Mathematics
- 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…

## References

SHOWING 1-10 OF 21 REFERENCES

### Quantum-state tomography and discrete Wigner function.

- PhysicsPhysical review letters
- 1995

A tomographical scheme is proposed to infer the quantum states of finite-dimensional systems from experiments and a new discrete Wigner formalism is developed.

### Discrete Wigner function and quantum-state tomography.

- PhysicsPhysical review. A, Atomic, molecular, and optical physics
- 1996

The theory of discrete Wigner functions and of discrete quantum-state tomography is studied in more detail guided by the picture of precession tomography, and relations between simple number theory and the quantum mechanics of finite-dimensional systems are pointed out.

### Quantum tomography of spin states and the Einstein-Podolsky-Rosen paradox

- Physics
- 2000

The new tomographic formulation of quantum mechanics is used to develop a method which can reconstruct the entire density matrix of a two-particle spin state in terms of positive classical…

### Measurement of the Wigner distribution and the density matrix of a light mode using optical homodyne tomography: Application to squeezed states and the vacuum.

- PhysicsPhysical review letters
- 1993

From measurements of quadrature-field amplitude, the technique of optical homodyne tomography is demonstrated to determine the Wigner distribution and the density matrix of the mode, providing a complete quantum mechanical characterization of the measured mode.

### Quorum of observables for universal quantum estimation

- Mathematics
- 2001

Quantum tomography is the process of reconstructing the ensemble average of an arbitrary operator (observable or not, including the density matrix), which may not be directly accessible by feasible…

### Phase space formulation of quantum mechanics and quantum state reconstruction for physical systems with Lie group symmetries

- Physics
- 1999

We present a detailed discussion of a general theory of phase-space distributions, introduced recently by the authors @J. Phys. A 31 ,L 9 ~1998!#. This theory provides a unified phase-space…

### Quantum state determination: Quorum for a particle in one dimension

- Mathematics
- 1979

In this paper we wish to illuminate the axiom that the quantal state describes a statistical ensemble of similar systems identically prepared, and is not to be identified with any single system. The…