量子计算机可以实现图灵机的模拟吗? - V2EX
memorybox

量子计算机可以实现图灵机的模拟吗?

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  •   memorybox Aug 23, 2018 1741 views
    This topic created in 2825 days ago, the information mentioned may be changed or developed.
    我是一个量子计算机的小白。

    撇开量子计算机的可行性和实现问题。我想问几个理论上的问题,我不知道这些问题目前有没有论断,各位专家也请不要鄙视我这么简单的小白问题:

    1.理论上量子计算机可以模拟现在冯.诺伊曼体系的图灵机吗?
    2.再进一步,有没有可能在量子计算机上实现对类似 X86 指令集的模拟?
    3.最后,如果能够模拟,那么这个虚拟机理论效率能达到什么程度呢?

    谢谢。
    3 replies    2018-08-23 15:21:50 +08:00
    di94sh
        1
    di94sh  
       Aug 23, 2018 via Android
    那么量子计算机计算大数需要多少内存呢。。
    shutongxinq
        2
    shutongxinq  
       Aug 23, 2018
    1. 可以
    2. 能
    3. 现阶段除了两个特殊问题,量子图灵机相对经典图灵机并无计算复杂度上的优势。
    noNOno
        3
    noNOno  
       Aug 23, 2018
    @di94sh 因为叠加态的原因,计算内存是 2^n,n 是量子计算机量子比特数.计算机 n 比特可以描述 2^n 个整数之一,而 n 个量子比特可以同时描述 2^n 个复数
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