# Interference in the Heisenberg picture of quantum field theory, local elements of reality, and fermions

@article{Marletto2020InterferenceIT, title={Interference in the Heisenberg picture of quantum field theory, local elements of reality, and fermions}, author={Chiara Marletto and Nicetu Tibau Vidal and Vlatko Vedral}, journal={Physical Review D}, year={2020} }

We describe the quantum interference of a single photon in the Mach-Zehnder interferometer using the Heisenberg picture. Our purpose is to show that the description is local just like in the case of the classical electromagnetic field, the only difference being that the electric and the magnetic fields are, in the quantum case, operators (quantum observables). We then consider a single-electron Mach-Zehnder interferometer and explain what the appropriate Heisenberg picture treatment is in this…

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## References

SHOWING 1-10 OF 16 REFERENCES

### The Heisenberg Representation of Quantum Computers

- Physics
- 1998

Since Shor`s discovery of an algorithm to factor numbers on a quantum computer in polynomial time, quantum computation has become a subject of immense interest. Unfortunately, one of the key features…

### Entanglement in single-particle systems

- PhysicsProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
- 2007

We address some of the most commonly raised questions about entanglement, especially with regard to the so-called occupation number entanglement. To answer unambiguously whether entanglement can…

### Fermionic computation is non-local tomographic and violates monogamy of entanglement

- Physics
- 2014

We show that the computational model based on local fermionic modes in place of qubits does not satisfy local tomography and monogamy of entanglement, and has mixed states with maximal entanglement…

### Information flow in entangled quantum systems

- PhysicsProceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences
- 2000

All information in quantum systems is, notwithstanding Bell's theorem, localized. Measuring or otherwise interacting with a quantum system S has no effect on distant systems from which S is…

### Is the fermionic exchange phase also acquired locally?

- PhysicsJournal of Physics Communications
- 2019

We argue that the fermionic exchange phase could be detected by local means. We propose a simple experiment to test our idea. This leads us to speculate that there might be a deeper mechanism behind…

### Proc

- R. Soc. Lond. A 456, 1759
- 2000