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Fractional topological phase for entangled qudits.
1Instituto de Física, Universidade Federal Fluminense, Niterói-RJ, Brasil.
Physical Review Letters
|July 21, 2011
Summary
We explored the topology of entangled qudits (quantum data) and found a fractional geometric phase. This discovery could lead to more robust quantum computing gates.
Area of Science:
- Quantum Information Science
- Quantum Computing
- Quantum Entanglement
Background:
- Understanding the topological properties of quantum systems is crucial for developing robust quantum information processing.
- Entangled qudits, generalizations of qubits, offer enhanced computational power but their topological structure under local operations remains complex.
- Identifying distinct evolutionary sectors and their topological characteristics is key to harnessing qudit-based quantum computation.
Purpose of the Study:
- To investigate the topological structure of entangled qudits under local unitary operations.
- To analyze the topological aspects of different identified sectors during quantum evolution.
- To explicitly calculate the geometric phase in terms of concurrence for these systems.
Main Methods:
- Analysis of topological structures in entangled qudit systems.
- Identification and characterization of distinct evolutionary sectors.
- Explicit calculation of geometric phase using concurrence as a measure of entanglement.
Main Results:
- Distinct sectors were identified within the evolution of entangled qudits.
- The geometric phase was successfully calculated and related to the concurrence.
- A fractional geometric phase was predicted for cyclic evolutions in the space of maximally entangled states.
Conclusions:
- The study reveals a fractional phase in cyclic evolutions of maximally entangled qudit states.
- This finding offers potential for creating noise-robust quantum gates.
- The topological analysis provides new insights into the behavior of entangled qudits.
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