# An uncertainty relation for measurements of random unitary channels acting on a qubit

@inproceedings{Kimoto2022AnUR, title={An uncertainty relation for measurements of random unitary channels acting on a qubit}, author={Taihei Kimoto and Takayuki Miyadera}, year={2022} }

By preparing an input state and measuring an observable for the output state, we can measure a quantum channel. Following the formulation given by Xiao et al ., we study an uncertainty relation for ancilla-free measurements of random unitary channels acting on a qubit. We obtain an explicit formula and give a necessary and suﬃcient condition for this formula to be nontrivial.

## References

SHOWING 1-10 OF 16 REFERENCES

Private quantum channels

- Computer ScienceProceedings 41st Annual Symposium on Foundations of Computer Science
- 2000

It is shown that in order to transmit n qubits privately, 2n bits of shared private key are necessary and sufficient and may be viewed as the quantum analogue of the classical one-time pad encryption scheme.

The Mathematical Language of Quantum Theory: From Uncertainty to Entanglement

- Physics
- 2012

Introduction 1. Hilbert space refresher 2. States and effects 3. Observables 4. Operations and channels 5. Measurement models and instruments 6. Entanglement Bibliography Index.

Quantum Computation and Quantum Information (10th Anniversary edition)

- Physics, Education
- 2010

Containing a wealth of figures and exercises, this well-known textbook is ideal for courses on the subject, and will interest beginning graduate students and researchers in physics, computer science, mathematics, and electrical engineering.

Phys

- Rev. A 54
- 1996

Phys

- Rev. A 77
- 2008

Phys

- Rev. A 76
- 2007

Phys

- 61
- 2020

Rev

- Mod. Phys. 89
- 2017

Phys

- Rev. Research 3
- 2021