Single-qubit quantum classifier based on gradient-free optimization algorithm

A single-qubit quantum classifier(SQC)based on a gradient-free optimization(GFO)algorithm,named the GFO-based SQC,is proposed to overcome the effects of barren plateaus caused by quantum devices.Here,a rotation gate R_(X)(φ)is applied on the single-qubit binary quantum classifier,and the training data and parameters are loaded intoφin the form of vector multiplication.The cost function is decreased by finding the value of each parameter that yields the minimum expectation value of measuring the quantum circuit.The algorithm is performed iteratively for all parameters one by one until the cost function satisfies the stop condition.The proposed GFO-based SQC is demonstrated for classification tasks in Iris and MNIST datasets and compared with the Adam-based SQC and the quantum support vector machine(QSVM).Furthermore,the performance of the GFO-based SQC is discussed when the rotation gate in the quantum device is under different types of noise.The simulation results show that the GFO-based SQC can reach a high accuracy in reduced time.Additionally,the proposed GFO algorithm can quickly complete the training process of the SQC.Importantly,the GFO-based SQC has a good performance in noisy environments.

Scheme for Generalized Quantum State Sharing of a Single-Qubit State in Cavity QED

An experimentally feasible scheme for generalized quantum state sharing of an arbitrary unknown single- qubit state in cavity QED is presented. Using a generalized Greenberger-Horne-Zeilinger （GHZ） state as the quantum channel among the three parties, the quantum information （i.e. the single-qubit state） from the sender can be split in such a way that the information can be recovered if and only if both receivers collaborate. Moreover, the scheme is insensitive to both the effects of thermal field and cavity decay.

Entangled States in a Single-Qubit Structure with SQUID Coupled with a Super-conducting Resonator

In this paper, the number-phase quantization scheme of the mesoscopic circuit, which consists of a singlequbit structure with superconducting quantum interference device coupled with a super-conducting resonator, is given. By introducing a unitary matrix and by means of spectral decomposition, the Hamiltonian operator of the system is exactly formulated in compact forms in spin-l/2 notation. The eigenvalues and the eigenstates of the system are investigated. It is found that using this system the entangled states can not only be prepared, but also be manipulated by tuning the magnetic flux through the super-conducting loop.

Tripartition of Arbitrary Single-Qubit Information via a Class of Asymmetric Four-Qubit W State

A four-party scheme is put forward for a sender to partition arbitrary single-qubit information among three receivers by utilizing a class of asymmetric four-qubit W state as quantum channels. In the scheme the sender＇s quantum information can be recovered by the three receivers if and only if they collaborate together. Specifically, they collaborate to perform first two different 2-qubit collective unitary operations and then a single-qubit unitary operation. The scheme is symmetric and （3, 3）-threshold with regard to the reconstruction, for any receiver can be assigned to conclusively recover the quantum information with the other two＇s assistances.

Simplified Four-Qubit Cluster State for Splitting Arbitrary Single-Qubit Information

The simplified four-qubit cluster state （i.e., （｜0000〉 ＋ ｜0011〉 ＋ ｜1100〉 -｜1111〉）/2） is explored for splitting an arbitrary single-qubit quantum information （QI）. Various feasible distributions of the four qubits among the Q,I sender and receivers for tri-splitting or hi-splitting are found out. For the distribution representations the corresponding splitting schemes and their LOCCs （local operation and classical communication） are presented amply while others are mentioned concisely.

Correction of microwave pulse reflection by digital filters in superconducting quantum circuits

Reducing the control error is vital for high-fidelity digital and analog quantum operations.In superconducting circuits,one disagreeable error arises from the reflection of microwave signals due to impedance mismatch in the control chain.Here,we demonstrate a reflection cancelation method when considering that there are two reflection nodes on the control line.We propose to generate the pre-distortion pulse by passing the envelopes of the microwave signal through digital filters,which enables real-time reflection correction when integrated into the field-programmable gate array(FPGA).We achieve a reduction of single-qubit gate infidelity from 0.67%to 0.11%after eliminating microwave reflection.Real-time correction of microwave reflection paves the way for precise control and manipulation of the qubit state and would ultimately enhance the performance of algorithms and simulations executed on quantum processors.

Partition of arbitrary single-qubit information among n recipients via asymmetric(n+1)-qubit W state

A symmetric and(n,n)-threshold scheme for a sender to partition his/her arbitrary single-qubit information among n recipients is proposed by using a newly constructed asymmetric(n+1)-qubit W state.Both the scheme in some given scenarios and the new W state are also discussed given.

Single-Qubit Operation Sharing with Bell and W Product States

Two tripartite schemes are put forward with shared entanglements and Local Operation and Classical Communication (LOCC) for sharing an operation on a remote target sate.The first scheme uses a Bell and a symmetric W states as quantum channels,while the second replaces the symmetric W state by an asymmetric one.Both schemes are treated and compared from the aspects of quantum resource consumption,operation complexity,classical resource consumption,success probability and efficiency.It is found that the latter scheme is better than the former one.Particularly,the sharing can be achieved only probabilistically with the first scheme deterministically with the second one.

Quantum Dense Coding Without Joint Measurement

We propose two schemes for quantum dense coding without Bell states measurement. One is deterministic, the other is probabilistic. In the deterministic scheme, the initial entangled state will be not destructed. In the proba-bilistic scheme, the initial unknown nonmaximal entangled state will be transformed into a maximal entangled one. Our schemes require two auxiliary particles and perform single-qubit measurements on them. Thus our schemes are simple and economic.

Controlled Remote State Preparation

We present a scheme for remotely preparing a state via the controls of many agents in a network.In thescheme,the agents' controls are achieved by utilizing quantum key distribution.Generally,the original state can berestored by the receiver with probability 1/2 if all the agents collaborate.However,for certain type of original states therestoration probability is unit.

Universal quantum control based on parametric modulation in superconducting circuits

As superconducting quantum circuits are scaling up rapidly towards the noisy intermediate-scale quantum(NISQ)era,the demand for electronic control equipment has increased significantly.To fully control a quantum chip of N qubits,the common method based on up-conversion technology costs at least 2×N digital-to-analog converters(DACs)and N IQ mixers.The expenses and complicate mixer calibration have become a hinderance for intermediate-scale quantum control.Here we propose a universal control scheme for superconducting circuits,fully based on parametric modulation.To control N qubits on a chip,our scheme only requires N DACs and no IQ mixer,which significantly reduces the expenses.One key idea in the control scheme is to introduce a global pump signal for single-qubit gates.We theoretically explain how the universal gates are constructed using parametric modulation.The fidelity analysis shows that parametric single-qubit(two-qubit)gates in the proposed scheme can achieve low error rates of 10^(4),with a gate time of about 60 ns(100 ns).

Teleportation of Bipartite Entangled State Without Joint Measurement

In this paper, we present a probabilistic teleportation scheme for unknown bipartite entangled state. By using linear optical elements, we convert the Bell-state measurement into separated single-qubit measurements.

Dynamics of Cohering and Decohering Power under Markovian Channels

In this paper, we investigate the cohering and decohering power of the one-qubit Markovian channels with respect to coherence measures based on the l1-norm, the Renyi a-relative entropy and the Tsallis a-relative entropy of coherence, respectively. The amplitude damping channel, phase damping channel, depolarizing channel, and flip channels axe analytically calculated. It shows that the decohering power of the amplitude damping channel on the x, y, and z basis is equal to each other. The same phenomenon can be seen for the phase damping channel and the flip channels. The cohering power for the phase damping channel and the flip channels on the x, y basis also equals to that on the z basis. However, the cohering and decohering power of the depolaxizing channel is independent to the reference basises. And the cohering power of the amplitude damping channel on the x, y basis is different to that on the z basis.