论文标题
最佳的古典和量子真实和复杂维度证人
Optimal classical and quantum real and complex dimension witness
论文作者
论文摘要
我们发现，独立准备和测量数量最少，证明了限制在$ d $状态的经典或量子系统的维度，可选地减少为实际子空间。作为维度证书，我们使用由决定因素测试的线性独立性。我们发现，如果额外的贡献很小，则可以最大程度地检测出更大空间的机会。我们讨论了测试的实际应用，以证明量子计算机上的空间逻辑操作。
We find the minimal number of independent preparations and measurements certifying the dimension of a classical or quantum system limited to $d$ states, optionally reduced to the real subspace. As a dimension certificate, we use the linear independence tested by a determinant. We find the sets of preparations and measurements that maximize the chance to detect larger space if the extra contribution is very small. We discuss the practical application of the test to certify the space logical operations on a quantum computer.
