At one point in the future, the Cold War will begin with China. It is only a matter of time before another Cold War sparks because China, as we know today, is still a communist country and it is gaining a lot of economical and military power. In the next few years to come, China will bypass our country's economy, and that will be bad for the US. They might be motivated to become the world's Superleader, and that will definitely mean a possible Cold War.
China has been developing systems and processes to fight against the United states for many years. This alone shows the intent to do the United States harm. So a Cold War would just be a natural progression to this end. By buying part of the United State's debate they have created a economic vulnerabilities to their influence and this could be possibly a first step on their part to creating a shorter cold war if it were to break out by economically crippling hte United States.
I do not believe that it is likely that we will have a Cold War with China. I think that while China is progressing as an economic power, there will never be a point where we will ever think they are going to be a threat to use militarily. I think that such claims are ridiculous.
Since a "cold war" is defined as a continued state of political and military tension between two or more countries, without any major fighting directly between the countries, the United States (US) and China are not going to have one. The US and China have to date always been able to discuss and resolve their disputes diplomatically.
No, the United States and China will never have a Cold War in the same way the United States and the Soviet Union did. China and the United States simply have way too many economic and trade ties to one another to start a geo-political problem like a Cold War.