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This research proposes a scalable route for universal quantum control by leveraging open systems and small Lie groups to bypass the exponential computational costs of traditional unitary group methods. By utilizing environmental interactions and partial trace operations, the technique simplifies state approximation and channel control without requiring exponentially more qubits. This approach addresses a critical bottleneck in building practical, large-scale quantum computers by reducing the complexity of necessary calculations.
Researchers Propose Efficient Quantum Control Via Open Systems
Can universal quantum computation truly be achieved without exponentially increasing computational demands? It now appears so, as techniques utilising a small Lie group in just (n+3) qubits, rather than the entire unitary group in *n* qubits, have been demonstrated for both state approximation and complete control over quantum channels. This advance harnesses open quantum systems offering an alternative route towards scalable technologies.
A new method utilises open quantum systems and a small Lie group within an expanded system of qubits instead of relying upon the entire unitary group when preparing quantum states. The approach allows for approximation of any state starting from an initial condition through repeated use of partial trace and environment preparation alongside operations from this smaller group; key simplification occurs in complex calculations. An alternative approach to building quantum states has been created by utilising ‘open’ quantum systems which allow interactions with surrounding environments than solely relying…
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