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根据硬件量身定制的对角化电路
Daniel Miller1,2,3, Laurin E Fischer3, Kyano Levi1
1Dahlem Center for Complex Quantum Systems, Freie Universität Berlin, Berlin, Germany.
NPJ quantum information
|November 25, 2024
概括
我们为量子算法引入了量身定制的硬件 (HT) 对角化电路,减少了门数,并提高了近期量子计算机的效率. 这种方法需要比传统方法来估计预期值更少的测量.
科学领域:
- 量子计算是一种量子计算.
- 量子算法中的量子算法
- 量子信息科学是一种量子信息科学.
背景情况:
- 对保利运算子的诊断对于许多量子算法至关重要.
- 现有的对角化电路通常会在有限的量子硬件上产生高SWAP门开销.
- 除了两个量子比特门,限制了对角化到张量积基 (TPB).
研究的目的:
- 开发构建硬件定制 (HT) 对角化电路的理论框架.
- 在近期量子计算机上实现资源高效的量子电路执行.
- 为了减少门数和提高量子计算的效率.
主要方法:
- 引入了一个系统和灵活的框架来设计HT对角化电路.
- 开发了一种高效的算法,用于将保利运算符分组成可联合HT-diagonalizable集.
- 通过实验证明了HT电路对于预期值估计的效率.
主要成果:
- 高频电路实现超低门数,克服了通用电路的局限性.
- 拟议的算法有效地将保利运算符组合为对角化.
- 与传统的TPB方法相比,对于某些哈密尔顿数来说,所需的测量较少.
- 实验结果显示,使用基于云的量子计算机,预期值的估计效率提高了.
结论:
- 高频对角化框架为资源高效的量子计算提供了重大进步.
- 这种方法提高了量子算法在当前量子硬件上的实际应用性.
- 高频电路为预期值估计等任务提供了更有效的替代方案.
相关概念视频
01:22Block Diagram Reduction
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The process of deriving the transfer function of a control system often involves reducing its block diagram to a single block. This simplification can be achieved through a series of strategic operations, including relocating branch points and comparators. These operations preserve the overall function of the system while allowing for easier manipulation and combination of blocks.
The first step in this process is the identification and relocation of a branch point. A branch point, where a...
The first step in this process is the identification and relocation of a branch point. A branch point, where a...
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01:18Clipper Circuit
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A clipper circuit is a fundamental wave-shaping device that harnesses the unique properties of diodes to alter and control waveform characteristics. This technology is widely used in electronic devices, especially in television and radar communication systems, where it enhances waveform modulation in both transmitters and receivers.
The operation of a clipper circuit can be exemplified by analyzing a dual-clipper configuration setup that integrates two ideal diodes, each paired with a biasing...
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01:23Voltage Doubler Circuit
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A voltage doubler circuit integrates two main components: a clamping section and a rectifier section. The clamping section consists of a capacitor (C1) and a diode (D1), whereas the rectifier section is equipped with another diode (D2) and capacitor (C2). This circuit produces an output voltage with twice the amplitude of the sinusoidal input voltage.
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01:20Design Example: Capacitance Multiplier Circuit
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In integrated circuit technology, a capacitance multiplier is often utilized to produce a larger capacitance value when a small physical capacitance falls short. This is achieved by a circuit that multiplies capacitance values by a factor of up to 1000, such that a 10-pF capacitor can replicate the performance of a 100-nF capacitor.
The circuit illustrated in Figure 1 below incorporates two op-amps, with the first operating as a voltage follower and the second acting as an inverting amplifier.
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01:14Clamper Circuit
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A clamper circuit, also known as a DC restorer, represents a specialized variant of the rectifier circuit, notable for its method of taking the output across the diode rather than the capacitor. This configuration lends to several distinctive applications, particularly in handling square wave inputs.
Within this circuit, the diode's orientation prompts the capacitor to charge up to the level of the most negative peak of the input signal. Upon reaching this state, the diode ceases to...
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01:25Directional Relays
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